Question

Someone knows why a normal subgroup N doesn't necessarily imply that this group is Abelian?

Answer 1

abelian means that the law of communion holds true..... it has to be catholic

Answer 2

how that applies to groups and rings and such I cant reall

Answer 3

All subgroups N of an abelian group G are normal, because gN = Ng. A group that is not abelian but for which every subgroup is normal is called a Hamiltonian group.

Answer 4

Not sure if it is relevant D;

Answer 5

Thanks i didn't know about this group.

Answer 6

I hope that helps :D