Quick question about subgroups and external direct products

  • Thread starter wakko101
  • Start date
  • #1
68
0
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. =)
 

Answers and Replies

  • #2
236
0
Well, does it contain the identity? Is it closed under multiplication (componentwise)? Inverses?
 

Related Threads on Quick question about subgroups and external direct products

  • Last Post
Replies
2
Views
10K
Replies
2
Views
9K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
11
Views
774
Replies
3
Views
2K
Replies
0
Views
3K
Replies
7
Views
3K
Top