- #1
Bachelier
- 376
- 0
if |G| = n . And G has 2n-1 subgroups, prove G = <e> or it is isomorphic to Z2.
I am thinking I need to show that n is either 1 or 2. But I don't know how to use the number of subgroups. I can't find a theorem that mentions the number of subgroups or a group.
any Hints please?
I am thinking I need to show that n is either 1 or 2. But I don't know how to use the number of subgroups. I can't find a theorem that mentions the number of subgroups or a group.
any Hints please?