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  1. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  2. %%
  3. %A  manual.bib                  GAP documentation            Martin Schoenert
  4. %%
  5. %A  $Id: manual.bib,v 3.9 1993/02/18 16:36:15 felsch Exp $
  6. %%
  7. %Y  Copyright 1990-1992,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
  8. %%
  9. %%  This file contains the source for the  bibliography  of the  GAP  manual.
  10. %%
  11. %H  $Log: manual.bib,v $
  12. %H  Revision 3.9  1993/02/18  16:36:15  felsch
  13. %H  two papers of Dixon and Schneider added
  14. %H
  15. %H  Revision 3.8  1993/01/22  19:29:57  martin
  16. %H  added [Bur55], [HIO89], [Ker91], and [Pah93]
  17. %H
  18. %H  Revision 3.7  1993/01/13  12:21:55  felsch
  19. %H  added hyphenation of "Bayreuther"
  20. %H
  21. %H  Revision 3.6  1993/01/08  12:04:33  fceller
  22. %H  added subgroup presentation, Tietze, lattice
  23. %H
  24. %H  Revision 3.5  1993/01/04  11:02:12  fceller
  25. %H  added references used in the ANU pq
  26. %H
  27. %H  Revision 3.4  1992/11/20  18:49:15  martin
  28. %H  added 'Con90a' and renamed 'Con90' to 'Con90b'
  29. %H
  30. %H  Revision 3.3  1992/06/19  12:01:17  sam
  31. %H  added [Ple90]
  32. %H
  33. %H  Revision 3.2  1992/04/07  22:58:36  martin
  34. %H  added [Bau91] and [Con90]
  35. %H
  36. %H  Revision 3.1  1992/04/06  00:16:12  martin
  37. %H  initial revision under RCS
  38. %H
  39. %%
  40.  
  41.  
  42. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  43. %%
  44. %S  Journals  . . . . . . . . . . . . . . . . . .  abbreviations for journals
  45. %%
  46. %%  The following strings are abbreviations for  journals,  which are used in
  47. %%  *articles*.
  48. %%
  49. @string{ ArchMath  = "Arch. Math."                                          }
  50. @string{ BayreuMS  = "Bay\-reu\-ther Math. Schr."                           }
  51. @string{ GlasgowMJ = "Glasgow Math. J."                                     }
  52. @string{ JSC       = "J. Symbolic Computation"                              }
  53. @string{ JAlg      = "J. Algebra"                                           }
  54. @string{ MathAnn   = "Math. Ann."                                           }
  55. @string{ MathComp  = "Math. Comput."                                        }
  56. @string{ MathZ     = "Math. Z."                                             }
  57. @string{ NumMath   = "Num. Math."                                           }
  58. @string{ ProcEdin  = "Proc. Edinburgh Math. Soc. (2)"                       }
  59.  
  60.  
  61. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  62. %%
  63. %S  Schools, Institutions, Organizations  . . . . . abbreviations for schools
  64. %%
  65. %%  The following strings are abbreviations for  schools,  institutions,  and
  66. %%  organizations, which are used in *masterthesis* (schools),  *techreports*
  67. %%  (institutions), and *manuals* (organizations).
  68. %%
  69. @string{ DublinIAS = "Dublin Inst. Adv. Studies"                            }
  70.  
  71. @string{ RWTH      = "Rheinisch Westf{\accent127 a}lische Technische
  72.                       Hoch\-schule"                                         }
  73. @string{ RWTHLDFM  = "Lehrstuhl D f{\accent127 u}r Mathematik,
  74.                       Rheinisch Westf{\accent127 a}lische Technische
  75.                       Hoch\-schule"                                         }
  76. @string{ RWTH-A    = "Aachen, Germany"                                      }
  77.  
  78. @string{ UBayreu   = "Universit{\accent127 a}t Bayreuth"                    }
  79. @string{ UBayreu-A = "Bayreuth, Germany"                                    }
  80.  
  81. @string{ UBonn     = "Rheinische Friedrich Wilhelm Universit{\accent127 a}t
  82.                       Bonn"                                                 }
  83. @string{ UBonn-A   = "Bonn, Germany"                                        }
  84.  
  85. @string{ UEssen    = "Universit{\accent127 a}t Essen"                       }
  86. @string{ UEssen-A  = "Essen, Germany"                                       }
  87.  
  88. @string{ UKiel     = "Universit{\accent127 a}t Kiel"                        }
  89. @string{ UKiel-A   = "Kiel, Germany"                                        }
  90.  
  91. @string{ McGillU   = "McGill University"                                    }
  92. @string{ McGillU-A = "Montreal, Canada"                                     }
  93.  
  94. @string{ USydney   = "University of Sydney"                                 }
  95. @string{ USydBDCS  = "Basser Department of Computer Science,
  96.                       University of Sydney"                                 }
  97. @string{ USydDPM   = "Department of Pure Mathematics,
  98.                       University of Sydney"                                 }
  99. @string{ USydney-A = "Sydney, Australia"                                    }
  100.  
  101.  
  102. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  103. %%
  104. %S  Publishers  . . . . . . . . . . . . . . . .  abbreviations for publishers
  105. %%
  106. %%  The following strings are abbreviations for publishers, which are used in
  107. %%  *books*, *inbooks*, and *proceedings*.
  108. %%
  109. @string{ AcaPress  = "Academic Press"                                       }
  110. @string{ AddWes    = "Addison-Wesley"                                       }
  111. @string{ Birkhaeus = "Birkh{\accent127 a}user, Basel"                       }
  112. @string{ BIWissV   = "BI-Wis\-sen\-schafts\-ver\-lag, Mannheim"             }
  113. @string{ CamUPress = "Cambridge University Press"                           }
  114. @string{ Clarendon = "Clarendon, Oxford"                                    }
  115. @string{ Dover     = "Dover Publications, New York"                         }
  116. @string{ Gruyter   = "Walter de Gruyter, Berlin, New York"                  }
  117. @string{ HDeutsch  = "Verlag Harri Deutsch, Frankfurt/Main"                 }
  118. @string{ Macmillan = "The Macmillan Company, New York"                      }
  119. @string{ OxUnPress = "Oxford University Press"                              }
  120. @string{ Pergamon  = "Pergamon Press, Oxford"                               }
  121. @string{ SpringerB = "Springer, Berlin"                                     }
  122.  
  123.  
  124. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  125. %%
  126. %R  References  . . . . . . . . . . . . . . . . . . . . . . . . .  references
  127. %%
  128. %%  The following are the references.  They are  ordered with respect to  the
  129. %%  last name of the first author.
  130. %%
  131. @inproceedings{AMW82,
  132. author       = "D[avid] G. Arrell and
  133.                 S[anjiv] Manrai and
  134.                 M[ichael] F. Worboys",
  135. title        = "A procedure for obtaining simplified defining
  136.                 relations for a subgroup",
  137. crossref     = "GrpsStAndrews81",
  138. pages        = "155--159",
  139. keywords     = "finitely presented groups;
  140.                 subgroup presentation, simplification;
  141.                 modified Todd Coxeter (mtc), tree decoding;
  142.                 algorithm description",
  143. reviews      = "MR 84a:20041 (from the introduction),
  144.                 Zbl 488.20003 (J. Neub{\accent127 u}ser)",
  145. }
  146.  
  147. @inproceedings{AR84,
  148. author       = "D[avid] G. Arrell and
  149.                 E[dmund] F. Robertson",
  150. title        = "A modified {T}odd-{C}oxeter algorithm",
  151. crossref     = "Durham82",
  152. pages        = "27--32",
  153. keywords     = "finitely presented groups;
  154.                 subgroup presentation, simplification;
  155.                 modified Todd Coxeter (mtc), tree decoding;
  156.                 algorithm description",
  157. reviews      = "MR 86g:20042 (J.~D. Macdonald),
  158.                 Zbl 556.20001 (J. Neub{\accent127 u}ser)",
  159. }
  160.  
  161. @book{Art68,
  162. author       = "E[mil] Artin",
  163. title        = "Galoissche Theorie",
  164. year         = "1968",
  165. publisher    = HDeutsch,
  166. }
  167.  
  168. @phdthesis{Bau91,
  169. author       = "Ulrich Baum",
  170. title        = "Existenz und effiziente {K}onstruktion schneller
  171.                 {F}ouriertransformationen
  172.                 {\accent127 u}beraufl{\accent127 o}sbarer {G}ruppen",
  173. type         = "Dissertation",
  174. year         = "1991",
  175. school       = UBonn,
  176. address      = UBonn-A,
  177. }
  178.  
  179. @article{BC76,
  180. author       = "M[ichael] J. Beetham and
  181.                 C[olin] M. Campbell",
  182. title        = "A note on the {T}odd-{C}oxeter coset enumeration
  183.                 algorithm",
  184. journal      = ProcEdin,
  185. volume       = "20",
  186. pages        = "73--79",
  187. year         = "1976",
  188. keywords     = "finitely presented groups;
  189.                 subgroup presentation;
  190.                 modified Todd Coxeter (mtc);
  191.                 algorithm description",
  192. reviews      = "MR 53 # 3116 (D.~L. Johnson),
  193.                 Zbl 328.20032 (Summary)",
  194. }
  195.  
  196. @mastersthesis{Bis89,
  197. author       = "Thomas Bischops",
  198. title        = "Collectoren im {P}rogrammsystem {GAP}",
  199. type         = "Diplomarbeit",
  200. year         = "1989",
  201. school       = RWTHLDFM,
  202. address      = RWTH-A,
  203. }
  204.  
  205. @techreport{BC92,
  206. author       = "Wieb Bosma and
  207.                 John [J.] Cannon",
  208. title        = "Handbook of {Cayley} Functions",
  209. year         = 1992,
  210. institution  = USydDPM,
  211. address      = USydney-A,
  212. keywords     = "system design;
  213.                 Cayley;;
  214.                 manual",
  215. notes        = "PAGES: 282",
  216. }
  217.  
  218. @article{BC89,
  219. author       = "Richard P. Brent and
  220.                 Graeme L. Cohen",
  221. title        = "A New Lower Bound for Odd Perfect Numbers",
  222. journal      = MathComp,
  223. volume       = "53",
  224. pages        = "431--437",
  225. year         = "1989",
  226. }
  227.  
  228. @book{Bur55,
  229. author       = "W[illiam~S.] Burnside",
  230. title        = "Theory of Groups of Finite Order",
  231. note         = "Unabridged republication of the second edition,
  232.                 published in 1911",
  233. year         = "1955",
  234. publisher    = Dover,
  235. notes        = "PAGES: xxiv + 512",
  236. }
  237.  
  238. @article{But82,
  239. author       = "Gregory Butler",
  240. title        = "Computing in Permutation and Matrix Groups {II}:
  241.                 Backtrack Algorithm",
  242. journal      = MathComp,
  243. volume       = "39",
  244. pages        = "671--680",
  245. year         = "1982",
  246. keywords     = "permutation groups, matrix groups;;
  247.                 backtrack through stabilizer chain",
  248. reviews      = "MR 83k:20004b (J.~D. Dixon),
  249.                 Zbl 552.20003 (see Zbl 552.20004 for a review of this article)",
  250. }
  251.  
  252. @article{But85a,
  253. author       = "Gregory Butler",
  254. title        = "Effective Computation with Group Homomorphisms",
  255. journal      = JSC,
  256. volume       = "1",
  257. pages        = "143--157",
  258. year         = "1985",
  259. keywords     = "permutation groups;
  260.                 homomorphisms",
  261. reviews      = "MR 87b:68057 (Summary),
  262.                 (Zbl 572.20001 (J. Neub{\accent127 u}ser)",
  263. notes        = "TR 184 BDCS (1982), 41 pages",
  264. }
  265.  
  266. @mastersthesis{Cam71,
  267. author       = "Harvey A. Campbell",
  268. title        = "An extension of coset enumeration",
  269. type         = "M. {S}c.  thesis",
  270. year         = "1971",
  271. school       = McGillU,
  272. address      = McGillU-A,
  273. keywords     = "finitely presented groups;
  274.                 subgroup presentation;
  275.                 modified Todd Coxeter (mtc);
  276.                 program description",
  277. }
  278.  
  279. @mastersthesis{Cel92,
  280. author       = "Frank Celler",
  281. title        = "Kohomologie und {N}ormalisatoren in {GAP}",
  282. type         = "Diplomarbeit",
  283. year         = "1992",
  284. school       = RWTHLDFM,
  285. address      = RWTH-A,
  286. }
  287.  
  288. @article{CNW90,
  289. author       = "Frank Celler and
  290.                 Joachim Neub{\accent127 u}ser and
  291.                 Charles~R.~B. Wright",
  292. title        = "Some remarks on the computation of complements and 
  293.                 normalizers in soluble groups",
  294. journal      = "Acta Applicandae Mathematicae",
  295. volume       = "21",
  296. pages        = "57--76",
  297. year         = "1990",
  298. }
  299.  
  300. @article{Con90a,
  301. author       = "S[am] B. Conlon",
  302. title        = "Calculating Characters of $p$-groups",
  303. journal      = JSC,
  304. volume       = "9",
  305. number       = "5 \& 6",
  306. pages        = "535--550",
  307. year         = "1990",
  308. }
  309.  
  310. @article{Con90b,
  311. author       = "S[am] B. Conlon",
  312. title        = "Computing Modular and Projective Character Degrees
  313.                 of Soluble Groups",
  314. journal      = JSC,
  315. volume       = "9",
  316. number       = "5 \& 6",
  317. pages        = "551--570",
  318. year         = "1990",
  319. }
  320.  
  321. @book{CCN85,
  322. author       = "J[ohn] H. Conway and
  323.                 R[obert] T. Curtis and
  324.                 S[imon] P. Norton and
  325.                 R[ichard] A. Parker and
  326.                 R[obert] A. Wilson",
  327. title        = "Atlas of finite groups",
  328. year         = "1985",
  329. publisher    = OxUnPress,
  330. }
  331.  
  332. @article{Dix67,
  333. author       = "J[ohn] D. Dixon",
  334. title        = "High Speed Computations of Group Characters",
  335. journal      = NumMath,
  336. volume       = "10",
  337. pages        = "446--450",
  338. year         = "1967",
  339. }
  340.  
  341. @article{Dre69,
  342. author       = "Andreas [W.~M.] Dress",
  343. title        = "A Characterization of Solvable Groups",
  344. journal      = MathZ,
  345. volume       = "110",
  346. pages        = "213--217",
  347. year         = "1969",
  348. }
  349.  
  350. @inproceedings{FS84,
  351. author       = "Volkmar Felsch and
  352.                 G{\accent127 u}nter Sandl{\accent127 o}bes",
  353. title        = "An Interactive Program for Computing Subgroups",
  354. crossref     = "Durham82",
  355. pages        = "137--143",
  356. keywords     = "groups;
  357.                 subgroup lattice, table of marks;
  358.                 cyclic extensions;
  359.                 program description",
  360. reviews      = "MR 85k:20003 (from the introduction),
  361.             Zbl 547.20016 (E. Kommissartschik)",
  362. }
  363.  
  364. @article{Fra82,
  365. author       = "J[ames] S. Frame",
  366. title        = "Recursive computation of tensor power components",
  367. journal      = BayreuMS,
  368. volume       = "10",
  369. pages        = "153--159",
  370. year         = "1982",
  371. publisher    = UBayreu,
  372. address      = UBayreu-A,
  373. }
  374.  
  375. @phdthesis{Gla87,
  376. author       = "S[tephan]~P. Glasby",
  377. title        = "Computational Approaches to the theory of finite soluble 
  378.                 groups",
  379. type         = "Phd thesis",
  380. year         = "1987",
  381. school       = USydDPM,
  382. address      = USydney-A,
  383. }
  384.  
  385. @article{GS90,
  386. author       = "S[tephan]~P. Glasby and
  387.                 M[ichael]~C. Slattery",
  388. title        = "Computing Intersections and Normalizers in Soluble Groups",
  389. journal      = JSC,
  390. volume       = "9",
  391. pages        = "637--651",
  392. year         = "1990",
  393. }
  394.  
  395. @book{GKP90,
  396. author       = "Ronald~L. Graham and
  397.                 Donald~E. Knuth and
  398.                 Oren Patashnik",
  399. title        = "Concrete Mathematics",
  400. year         = "1990",
  401. publisher    = AddWes,
  402. }
  403.  
  404. @book{HS64,
  405. author       = "Hall, Jr., Marshall and
  406.                 James~K. Senior",
  407. title        = "The Groups of Order $2^n$ ($n \le 6$)",
  408. year         = "1964",
  409. publisher    = Macmillan,
  410. }
  411.  
  412. @techreport{Hav69,
  413. author       = "George Havas",
  414. title        = "Symbolic and Algebraic Calculation",
  415. type         = "Basser Computing Dept., Technical Report",
  416. number       = "89",
  417. year         = "1969",
  418. institution  = USydBDCS,
  419. address      = USydney-A,
  420. keywords     = "finitely presented groups;
  421.                 simplification;
  422.                 Tietze transformations",
  423. }
  424.  
  425. @inproceedings{Hav74b,
  426. author       = "George Havas",
  427. title        = "A {R}eidemeister-{S}chreier Program",
  428. crossref     = "Canberra73",
  429. pages        = "347--356",
  430. keywords     = "finitely presented groups;
  431.                 subgroup presentation;
  432.                 Reidemeister Schreier (rs);
  433.                 program description",
  434. reviews      = "MR 51 # 13002 (F. Levin),
  435.                 Zbl 288.20047 (Summary)",
  436. }
  437.  
  438. @inproceedings{HN80,
  439. author       = "George Havas and
  440.                 M[ichael]~F. Newman",
  441. title        = "Application of Computers to Questions like those of
  442.                 {Burnside}",
  443. crossref     = "Bielefeld77",
  444. pages        = "211--230",
  445. keywords     = "finitely presentend groups;
  446.                 Burnside groups;
  447.                 nilpotent quotient",
  448. reviews      = "MR 82d:20002 (Colin M. Campbell),
  449.                 Zbl 432.20033 (J. Neub{\accent127 u}ser)",
  450. }
  451.  
  452. @inproceedings{HKRR84,
  453. author       = "George Havas and
  454.                 P[eter]~E. Kenne and
  455.                 J[ames]~S. Richardson and
  456.                 E[dmund]~F. Robertson",
  457. title        = "A {T}ietze Transformation Program",
  458. crossref     = "Durham82",
  459. pages        = "67--71",
  460. keywords     = "finitely presented groups;
  461.                 simplification;
  462.                 Tietze transformations",
  463. reviews      = "MR 86b:20039 (introduction),
  464.                 Zbl 569.20002 (G. Butler)",
  465. }
  466.  
  467. @article{HIO89,
  468. author       = "Trevor [O.] Hawkes and
  469.                 I. M[artin] Isaacs and
  470.                 M. {\accent127 O}zaydin",
  471. title        = "On the {M\accent127 o}bius Function of a Finite Group",
  472. journal      = "Rocky Mountain J. Math.",
  473. volume       = "19",
  474. pages        = "1003--1034",
  475. year         = "1989",
  476. }
  477.  
  478. @book{Hup67,
  479. author       = "B[ertram]  Huppert",
  480. title        = "Endliche {Gruppen} {I}",
  481. series       = "Grundlehren Math. Wiss.",
  482. volume       = "134",
  483. year         = "1967",
  484. publisher    = SpringerB,
  485. }
  486.  
  487. @book{Ker91,
  488. author       = "Adalbert Kerber",
  489. title        = "Algebraic Combinatorics Via Finite Group Actions",
  490. year         = "1991",
  491. publisher    = BIWissV,
  492. notes        = "PAGES: 436",
  493. }
  494.  
  495. @book{Lau82,
  496. author       = "Reinhard Laue",
  497. title        = "Zur {Konstruktion} und {Klassifikation} endlicher
  498.                 aufl{\accent127 o}sbarer {Gruppen}",
  499. series       = BayreuMS,
  500. volume       = "9",
  501. year         = "1982",
  502. publisher    = UBayreu,
  503. address      = UBayreu-A,
  504. keywords     = "polycyclic groups;;;
  505.                 classification",
  506. reviews      = "MR 84e:20018 (T.~O. Hawkes),
  507.                 Zbl 479.20010 (H. Heineken)",
  508. notes        = "PAGES: ii + 304, 1 correction sheet,
  509.                 Earlier version: Habilitationsschrift, RWTH Aachen, 1980",
  510. }
  511.  
  512. @inproceedings{LNS84,
  513. author       = "R[einhard] Laue and
  514.                 J[oachim] Neub{\accent127 u}ser and
  515.                 U[lrich] Schoenwaelder",
  516. title        = "Algorithms for finite soluble groups and the {SOGOS} system",
  517. crossref     = "Durham82",
  518. pages        = "105--135",
  519. keywords     = "polycyclic groups;;;
  520.                 algorithm description",
  521. reviews      = "MR 86h:20023 (Gerhard Pazderski),
  522.                 Zbl 547:20012 (E. Kommissartschik)",
  523. }
  524.  
  525. @article{LS90,
  526. author       = "C[harles] R. Leedham-Green and
  527.                 L[eonard] H. Soicher",
  528. title        = "Collection from the left and other strategies",
  529. journal      = JSC,
  530. volume       = "9",
  531. number       = "5 \& 6",
  532. pages        = "665--675",
  533. year         = "1990",
  534. }
  535.  
  536. @article{LLL82,
  537. author       = "A.~K.~Lenstra and
  538.                 H.~W.~Lenstra and
  539.                 L.~Lov{\accent19 a}sz",
  540. title        = "Factoring Polynomials with rational coefficients",
  541. journal      = MathAnn,
  542. volume       = "261",
  543. pages        = "513--534",
  544. year         = "1982",
  545. }
  546.  
  547. @article{Leo80,
  548. author       = "Jeffrey S. Leon",
  549. title        = "On an algorithm for finding a base and a strong generating
  550.                 set for a group given by generating permutations",
  551. journal      = MathComp,
  552. volume       = "35",
  553. pages        = "941--974",
  554. year         = "1980",
  555. keywords     = "permutation groups;
  556.                 stabilizer chain, base and strong generating set of;
  557.                 Schreier Sims, Todd Coxeter (tc)",
  558. reviews      = "MR 82i:20004 (Colin M. Campbell),
  559.                 Zbl 444.20001 (J. Neub{\accent127 u}ser)",
  560. }
  561.  
  562. @inproceedings{LP91,
  563. author       = "Klaus Lux and
  564.                 Herbert Pahlings",
  565. title        = "Computational aspects of representation theory of finite
  566.                 groups",
  567. crossref     = "MR91",
  568. pages        = "37--64",
  569. }
  570.  
  571. @book{LPW92,
  572. author       = "Klaus Lux and
  573.                 R[ichard] A. Parker and
  574.                 R[obert] A. Wilson",
  575. title        = "Modular Atlas of Finite Groups",
  576. year         = "1993",
  577. publisher    = "To appear",
  578. }
  579.  
  580. @article{McL77,
  581. author       = "D.~H.~McLain",
  582. title        = "An algorithm for determining defining relations of a
  583.                 subgroup",
  584. journal      = GlasgowMJ,
  585. volume       = "18",
  586. pages        = "51--56",
  587. year         = "1977",
  588. keywords     = "finitely presented groups;
  589.                 subgroup presentation;
  590.                 modified Todd Coxeter (mtc);
  591.                 algorithm description",
  592. reviews      = "MR 54 # 12908 (N.~S. Mendelsohn),
  593.                 Zbl 348.20029 (Summary)",
  594. }
  595.  
  596. @mastersthesis{Mni92,
  597. author       = "J{\accent127 u}rgen Mnich",
  598. title        = "Untergruppenverb{\accent127 a}nde und
  599.                 aufl{\accent127 o}sbare {G}ruppen in {GAP}",
  600. type         = "Diplom\-ar\-beit",
  601. year         = "1992",
  602. school       = RWTHLDFM,
  603. address      = RWTH-A,
  604. keywords     = "groups;
  605.                 subgroup lattice, table of marks;
  606.                 cyclic extensions;
  607.                 algorithm description",
  608. }
  609.  
  610. @article{Mon85,
  611. author        = "Peter L. Montgomery",
  612. title         = "Modular Multiplication Without Trial Division",
  613. journal       = MathComp,
  614. volume        = "44",
  615. pages         = "519--521",
  616. year          = "1985",
  617. }
  618.  
  619. @techreport{Mur58,
  620. author       = "F[rancis] D. Murnaghan",
  621. title        = "The Orthogonal and Symplectic Groups",
  622. type         = "Communications Series A",
  623. number       = "13",
  624. year         = "1958",
  625. institution  = DublinIAS,
  626. }
  627.  
  628. @phdthesis{Neu67,
  629. author       = "Joachim Neub{\accent127 u}ser",
  630. title        = "Die {U}ntergruppenverb{\accent127 a}nde der {Gruppen} der
  631.                 {Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen}
  632.                 64 und 96",
  633. type         = "Habilitationsschrift",
  634. year         = "1967",
  635. school       = UKiel,
  636. address      = UKiel-A,
  637. notes        = "PAGES: 370",
  638. }
  639.  
  640. @inproceedings{Neu82,
  641. author       = "Joachim Neub{\accent127 u}ser",
  642. title        = "An elementary introduction to coset table methods in
  643.                 computational group theory",
  644. crossref     = "GrpsStAndrews81",
  645. pages        = "1--45",
  646. keywords     = "finitely presented groups;
  647.                 subgroup presentation, permutation representation,
  648.                 low index subgroups;
  649.                 Todd Coxeter (tc), modified Todd Coxeter (mtc);
  650.                 algorithm description, survey",
  651. reviews      = "MR 84f:20004 (George Havas),
  652.                 Zbl 489.20003 (G. Butler)",
  653. }
  654.  
  655. @inproceedings{NPP84,
  656. author       = "J[oachim] Neub{\accent127 u}ser and
  657.                 H[erbert] Pahlings and
  658.                 W[ilhelm] Plesken",
  659. title        = "{CAS};
  660.                 Design and use of a system for the handling of
  661.                 characters of finite groups",
  662. crossref     = "Durham82",
  663. pages        = "195--247",
  664. keywords     = "ordinary representations;
  665.                 characters",
  666. reviews      = "MR 86i:20004 (D. Hales),
  667.                 Zbl 546.20001 (G. Butler)",
  668. }
  669.  
  670. @inproceedings{New77,
  671. author       = "M[ichael]~F. Newman",
  672. title        = "Determination of groups of prime-power order",
  673. crossref     = "Canberra75",
  674. pages        = "73--84",
  675. keywords     = "finitely presented groups, p-groups;; nilpotent quotient;
  676.                 application",
  677. reviews      = "MR 56 # 12115 (Bruce W. King),
  678.         Zbl no ref",
  679. }
  680.  
  681. @inproceedings{NO89,
  682. author       = "M[ichael]~F. Newman and
  683.                 E[amonn]~A. O{\accent19{}B}rien",
  684. title        = "A {CAYLEY} library for the groups of order dividing 128",
  685. crossref     = "Singapore87",
  686. pages        = "437--442"
  687. }
  688.  
  689. @article{OBr90,
  690. author       = "E[amonn]~A. O{\accent19{}B}rien",
  691. title        = "The $p$-group generation algorithm",
  692. journal      = JSC,
  693. volume       = "9",
  694. pages        = "677--698",
  695. year         = "1990",
  696. }
  697.  
  698. @article{OBr91,
  699. author       = "E[amonn]~A. O{\accent19{}B}rien",
  700. title        = "The groups of order $256$",
  701. journal      = JAlg,
  702. volume       = "142",
  703. year         = "1991",
  704. }
  705.  
  706. @techreport{Ost86,
  707. author       = "Th[omas] Ostermann",
  708. title        = "{C}haraktertafeln von {S}ylownormalisatoren sporadischer
  709.                 einfacher {G}ruppen",
  710. type         = "Vorlesungen aus dem Fachbereich Mathematik",
  711. number       = "14",
  712. year         = "1986",
  713. institution  = UEssen,
  714. address      = UEssen-A,
  715. }
  716.  
  717. @article{Pah93,
  718. author       = "Herbert Pahlings",
  719. title        = "On the {M\accent127 o}bius Function of a Finite Group",
  720. journal      = ArchMath,
  721. year         = "1993",
  722. note         = "To appear",
  723. }
  724.  
  725. @unpublished{Ple90,
  726. author       = "W[ilhelm] Plesken",
  727. title        = "Additive Decompositions of Positive Integral Quadratic
  728.                 Forms",
  729. note         = "The paper is available at
  730.                 Lehrstuhl B f{\accent127 u}r Mathematik,
  731.                 Rheinisch Westf{\accent127 a}lische Technische
  732.                 Hoch\-schule Aachen,
  733.                 may be it will be published in the near future",
  734. year         = "1990",
  735. }
  736.  
  737. @article{Poh87,
  738. author       = "M[ichael] Pohst",
  739. title        = "A modification of the LLL reduction algorithm",
  740. journal      = JSC,
  741. volume       = "4",
  742. pages        = "123--127",
  743. year         = "1987",
  744. }
  745.  
  746. @article{Rob88,
  747. author       = "E[dmund]~F. Robertson",
  748. title        = "{T}ietze transformations with weighted substring search",
  749. journal      = JSC,
  750. volume       = "6",
  751. pages        = "59--64",
  752. year         = "1988",
  753. keywords     = "finitely presented groups;
  754.                 simplification;
  755.                 Tietze transformations",
  756. }
  757.  
  758. @article{Sch90,
  759. author       = "Gerhard J.~A.~Schneider",
  760. title        = "{D}ixon's Character Table Algorithm Revisited",
  761. journal      = JSC,
  762. volume       = "9",
  763. pages        = "601--606",
  764. year         = "1990",
  765. }
  766.  
  767. @inproceedings{Sim70,
  768. author       = "Charles C. Sims",
  769. title        = "Computational methods in the study of permutation groups",
  770. crossref     = "Oxford67",
  771. pages        = "169--183",
  772. keywords     = "permutation groups;
  773.                 primitive groups, classification of, stabilizer chain;
  774.                 Schreier Sims",
  775. reviews      = "MR 41 # 1856 (H. Kimura),
  776.                 Zbl 215, 100 (J. McKay),
  777.                 CR 11 # 19,829 (G.~N. Raney)",
  778. notes        = "RUSSIAN translation in:
  779.                 Computations in algebra and number theory (Russian), edited
  780.                 by B.~B. Venkov and D.~K. Faddeev, pp. 129--147,
  781.                 Matematika, Novoie v Zarubeznoi Naukie, vol. 2,
  782.                 Izdat. MIR, Moscow, 1976",
  783. }
  784.  
  785. @manual{Sog89,
  786. title        = "{SOGOS} - A Program System for Handling Subgroups of
  787.                 Finite Soluble Groups, version 5.0, User's reference manual",
  788. year         = "1989",
  789. organization = RWTHLDFM,
  790. address      = RWTH-A,
  791. keywords     = "groups, finitely presented groups, polycyclic groups,
  792.                 nilpotent groups, p-groups;
  793.                 SOGOS, pc-presentation, ag-presentation, collection,
  794.                 elements, classes of conjugate elements,
  795.                 centralizer, normalizer, normal closure, intersection,
  796.                 sylow subgroups, derived subgroup, series,
  797.                 central series, p-central series, subgroup lattice,
  798.                 table of marks, complements, factor groups;
  799.                 nilpotent quotient (nq);
  800.                 manual",
  801. }
  802.  
  803. @manual{Spa89,
  804. title        = "{SPAS} - {S}ubgroup {P}resentation {A}lgorithms {S}ystem,
  805.                 version 2.5, User's reference manual",
  806. year         = "1989",
  807. organization = RWTHLDFM,
  808. address      = RWTH-A,
  809. keywords     = "finitely presented groups;
  810.                 SPAS, subgroup presentation, simplification,
  811.                 low index subgroups;
  812.                 Todd Coxeter (tc), modified Todd Coxeter (mtc),
  813.                 Reidemeister Schreier (rs),
  814.                 reduced Reidemeister Schreier (rrs),
  815.                 Tietze transformations, tree decoding;
  816.                 manual",
  817. }
  818.  
  819. @mastersthesis{Thi87,
  820. author       = "Peter Thiemann",
  821. title        = "{SOGOS} {III} - {C}haraktere und {E}ffizienzuntersuchung",
  822. type         = "Diplom\-arbeit",
  823. year         = "1987",
  824. school       = RWTHLDFM,
  825. address      = RWTH-A,
  826. }
  827.  
  828. @inproceedings{Vau84,
  829. author       = "M[ichael] R. Vaughan-Lee",
  830. title        = "An Aspect of the Nilpotent Quotient Algorithm",
  831. crossref     = "Durham82",
  832. pages        = "75--84",
  833. }
  834.  
  835. @book{Vau90a,
  836. author       = "M[ichael] R. Vaughan-Lee",
  837. title        = "The restricted {Burnside} problem",
  838. series       = "London Mathematical Society monographs",
  839. volume       = 5,
  840. year         = "1990",
  841. publisher    = Clarendon,
  842. }
  843.  
  844. @article{Vau90b,
  845. author       = "M[ichael] R. Vaughan-Lee",
  846. title        = "Collection from the Left",
  847. journal      = JSC,
  848. volume       = "9",
  849. pages        = "725--733",
  850. year         = "1990",
  851. publisher    = AcaPress,
  852. }
  853.  
  854. @mastersthesis{Zum89,
  855. author       = "Matthias Zumbroich",
  856. title        = "{Grundlagen} einer {Arithmetik} in
  857.                 {Kreisteilungsk{\accent127 o}rpern} und ihre
  858.                 {Implementation} in {CAS}",
  859. type         = "Dimplomarbeit",
  860. year         = "1989",
  861. school       = RWTHLDFM,
  862. address      = RWTH-A,
  863. }
  864.  
  865.  
  866. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  867. %%
  868. %P  Proceedings . . . . . . . . . . . . . . . . .  references for proceedings
  869. %%
  870. %%  The following references are proceedings that are *crossreferenced*  from
  871. %%  the references above.  They *must* come at the end  of  this  file.  They
  872. %%  are ordered with respect to the year of their publication.
  873. %%
  874. @proceedings{Oxford67,
  875. title        = "Computational Problems in Abstract Algebra, Oxford, 1967",
  876. booktitle    = "Computational Problems in Abstract Algebra, 
  877.                 Proc. Conf. Oxford, 1967",
  878. editor       = "John Leech",
  879. year         = "1970",
  880. publisher    = Pergamon,
  881. reviews      = "MR 40#5374,
  882.                 Zbl 186.299",
  883. }
  884.  
  885. @proceedings{Canberra73,
  886. title        = "Second International Conference on the Theory of Groups, 
  887.                 Canberra, 1973",
  888. booktitle    = "Proceedings of the Second International Conference on the
  889.                 Theory of Groups, Canberra, 1973",
  890. series       = "Lecture Notes in Mathematics, vol. 372",
  891. editor       = "M[ichael]~F. Newman",
  892. year         = "1974",
  893. publisher    = SpringerB,
  894. reviews      = "MR 49#9054,
  895.                 Zbl 282.00012",
  896. }
  897.  
  898. @proceedings{Canberra75,
  899. title        = "Group theory, Canberra, 1975",
  900. booktitle    = "Group theory, 
  901.         Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975",
  902. series       = "Lecture Notes in Math., vol. 573",
  903. editor       = "R.~A. Bryce and J. Cossey and M[ichael]~F. Newman",
  904. year         = "1977",
  905. publisher    = SpringerB,
  906. reviews      = "MR 55#3040,
  907.         Zbl 342.00008",
  908. }
  909.  
  910. @proceedings{Bielefeld77,
  911. title        = "Burnside groups, Bielefeld, 1977",
  912. booktitle    = "Burnside groups, Proceedings of a workshop,
  913.                 Bielefeld, Germany, 1977",
  914. series       = "Lecture notes in Mathematics, vol. 806",
  915. editor       = "J[ens] L. Mennicke",
  916. year         = "1980",
  917. publisher    = SpringerB,
  918. reviews      = "MR 81j:20002,
  919.                 Zbl 424.00008",
  920. }
  921.  
  922. @proceedings{GrpsStAndrews81,
  923. title        = "Groups-St.\,Andrews 1981,
  924.                 Proceedings of a conference,
  925.                 St.\,Andrews 1981",
  926. booktitle    = "Groups-St.\,Andrews 1981,
  927.                 Proceedings of a conference,
  928.                 St.\,Andrews 1981",
  929. series       = "LMS Lecture Note Series, vol. 71",
  930. editor       = "Colin M. Campbell and
  931.                 Edmund F. Robertson",
  932. year         = "1982",
  933. publisher    = CamUPress,
  934. }
  935.  
  936. @proceedings{Durham82,
  937. title        = "Computational Group Theory,
  938.                 Proceedings LMS Symposium on Computational Group Theory,
  939.                 Durham 1982",
  940. booktitle    = "Computational Group Theory,
  941.                 Proceedings LMS Symposium on Computational Group Theory,
  942.                 Durham 1982",
  943. editor       = "Michael D. Atkinson",
  944. year         = "1984",
  945. publisher    = AcaPress,
  946. }
  947.  
  948. @proceedings{Singapore87,
  949. title        = "Group Theory,
  950.                 Proceedings of the 1987 Singapore Conference,
  951.                 Singapore 1987",
  952. booktitle    = "Group Theory,
  953.                 Proceedings of the 1987 Singapore Conference,
  954.                 Singapore 1987",
  955. year         = "1989",
  956. publisher    = Gruyter,
  957. }
  958.  
  959. @proceedings{MR91,
  960. title        = "Representation theory of finite groups and
  961.                 finite--dimensional algebras",
  962. booktitle    = "Representation theory of finite groups and
  963.                 finite--dimensional algebras",
  964. editor       = "G.~O. Michler and
  965.                 C.~R. Ringel",
  966. series       = "Progress in Mathematics",
  967. volume       = "95",
  968. year         = "1991",
  969. publisher    = Birkhaeus,
  970. }
  971.  
  972.  
  973.  
  974.