- #1

- 376

- 0

## Main Question or Discussion Point

if |G| = n . And G has 2

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?

^{n-1}subgroups, prove G = <e> or it is isomorphic to Z_{2}.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?