Quick question about subgroups and external direct products

  • Thread starter wakko101
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  • #1
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If A and B are groups, then A x B is a group...does the same hold for subgroups? i.e. if A' is a subgroup of A and B' for B, then is A' x B' a subgroup of A x B?

Cheers,
W. =)
 
  • #2
Well, does it contain the identity? Is it closed under multiplication (componentwise)? Inverses?
 

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