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Text File  |  1992-12-22  |  811 b   |  19 lines
  1. Newsgroups: sci.math
  2. Path: sparky!uunet!zaphod.mps.ohio-state.edu!moe.ksu.ksu.edu!ux1.cso.uiuc.edu!news.cso.uiuc.edu!dbradley
  3. From: dbradley@symcom.math.uiuc.edu (David Bradley)
  4. Subject: Re: G=Ab Gp. H<G => G/H embedds in G, don't use Hom(G,Q/Z)
  5. References: <Bzn3GF.Gt@news.cso.uiuc.edu>
  6. Message-ID: <Bzn3tn.oB@news.cso.uiuc.edu>
  7. Sender: usenet@news.cso.uiuc.edu (Net Noise owner)
  8. Organization: Math Dept., University of Illinois at Urbana/Champaign
  9. Date: Tue, 22 Dec 1992 02:48:58 GMT
  10. Lines: 7
  11.  
  12. In article <Bzn3GF.Gt@news.cso.uiuc.edu> dbradley@symcom.math.uiuc.edu (David Bradley) writes:
  13. >Let G be an abelian group and H a subgroup.  Then G has a subgroup
  14. >isomorphic to G/H.  I managed to prove this using the character group
  15.  
  16. Of course, that should read "Let G be a _finite_ abelian group...
  17.  
  18. -D.M.Bradley
  19.