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- From: martin@math.rwth-aachen.de ( Martin Schoenert)
- Subject: Re: Group Theory Reference needed.
- References: <1992Sep14.200018.4959@tamsun.tamu.edu>
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- Approved: Daniel Grayson <dan@math.uiuc.edu>
- Date: Tue, 15 Sep 1992 09:16:51 GMT
- Lines: 39
-
- In his article of 14-Sep-92 Jack McKinney writes:
-
- I am looking for a reference that contains a list of all the groups
- of all orders up to a given limit [i.e., a book can only be so large.]
-
- The computer system GAP contains a collection of all solvable groups of
- size up to 100. The groups are represented by so called power-commutator
- presentations. This is the reason why we didn't include A(5) for the
- collection of *all* groups of size up to 100; A(5) cannot be represented
- this way. GAP is able to compute, among many other things, the character
- tables of these groups in a moderate amount of time.
-
- More information about GAP can be obtained by getting 'pub/gap/README'
- via anonymous 'ftp' to 'samson.math.rwth-aachen.de' (137.226.152.6).
-
- The collection is a compilation of the data in
-
- Marshall Hall, Jr. and James K. Senior
- The Groups of Order 2^n (n <= 6)
- The Macmillan Company, New York, 1964
- [the groups of size 64]
-
- Reinhard Laue
- Zur Konstruktion und Klassifikation endlicher aufl"osbarer Gruppen
- vol. 9 of Bayreuther Mathematische Schriften, Uni. Bayreuth, 1982
- [the groups of size 96]
-
- Joachim Neub"user
- Die Untergruppenverb"ande der Gruppen der Ordnungen <= 100
- mit Ausnahme der Ordnungen 64 und 96
- Habilitationsschrift, Uni. Kiel, 1967
- [other sizes]
-
- Martin.
-
- --
- Martin Sch"onert, Martin.Schoenert@Math.RWTH-Aachen.DE, +49 241 804551
- Lehrstuhl D f"ur Mathematik, Templergraben 64, RWTH, D 51 Aachen, Germany
-
-