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command for producing subgroups of a given group

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42401] command for producing subgroups of a given group
  • From: brian.ginsberg at yale.edu (BDG)
  • Date: Fri, 4 Jul 2003 01:33:17 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

I'm wondering if there's a Mathematica
function that lets me input a group of the form Z_p x Z_q, where p and
q are any positive integers, and will output

(1) all subgroups of that group and 
(2) the generator(s) of each subgroup. 

If no such predefined command exists, any help with creating a
notebook (for Mathematica) or routine that does this would be much
appreciated. Thanks!

BDG


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