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Text File  |  1992-10-12  |  849 b   |  20 lines
  1. Newsgroups: sci.math
  2. Path: sparky!uunet!destroyer!sol.ctr.columbia.edu!zaphod.mps.ohio-state.edu!magnus.acs.ohio-state.edu!wjcastre
  3. From: wjcastre@magnus.acs.ohio-state.edu (W.Jose Castrellon G.)
  4. Subject: Re: Algebra problem
  5. Message-ID: <1992Oct12.230345.17608@magnus.acs.ohio-state.edu>
  6. Sender: news@magnus.acs.ohio-state.edu
  7. Nntp-Posting-Host: bottom.magnus.acs.ohio-state.edu
  8. Organization: The Ohio State University,Math.Dept.(studnt)
  9. References: <1992Oct12.163249.1@vmsa.technion.ac.il> <2AD99AA9.24889@news.service.uci.edu>
  10. Date: Mon, 12 Oct 1992 23:03:45 GMT
  11. Lines: 7
  12.  
  13.  
  14. While we are at algebra, let me offer you the following problem:
  15.  
  16. Let G be a finite group and  H a normal subgroup of G with  (|H|,[G:H]) = 1.
  17. Prove: If f is an automorphism of G, then  f(H) = H
  18.  
  19. [it's just for your fun; it appeared in a qualifying exam I took last month]
  20.