- #1
Zorba
- 77
- 0
Suppose G is a group and H is a subgroup of G. Then is G\H a subgroup itself? My feeling is it shouldn't be since 1[tex]\in[/tex]H, therefore 1[tex]\notin[/tex]G\H?
I'm getting a bit confused about this because I'm doing a homework sheet and the question deals with a homomorphism from G [tex]\rightarrow[/tex] G\H and I'm wondering what happens to the identity element...
Thanks!
I'm getting a bit confused about this because I'm doing a homework sheet and the question deals with a homomorphism from G [tex]\rightarrow[/tex] G\H and I'm wondering what happens to the identity element...
Thanks!