- #1

- 15

- 0

The question is like this:

"If all cyclic subgroups of G are normal, then show that all subgroups of G are normal"

as I know all cyclic groups are abelian, and G itself is a subgroup of G so it is cyclic and abelian. Also I know that every subgroup of an abelian group is normal. So I didn't even understand the question completely.

How can I solve this?