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 Finding subgroups of group G
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blambeth09
Junior Member

USA
6 Posts

Posted - 03/17/2011 :  21:38:00  Show Profile  Reply with Quote
Let G be the group Zsub 20 cross under modular multiplication. List the different subgroups of G. Explain how you know that you have found all of the subgroups and how you know that all sets listed are, in fact, subgroups.
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royhaas
Moderator

USA
3059 Posts

Posted - 03/18/2011 :  08:42:48  Show Profile  Reply with Quote
Use the fact that the order of the group is the number of integers relatively prime to 20, i.e., the Euler totient function. Then use the definition of subgroups.
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