1. Mar 8, 2010 #1

   wakko101

   

   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. =)

    

   wakko101, Mar 8, 2010
2. 
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3. Mar 8, 2010 #2

   Tinyboss

   

   Well, does it contain the identity? Is it closed under multiplication (componentwise)? Inverses?

    

   Tinyboss, Mar 8, 2010

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