# Math Help - Groups and Subgroups!

1. ## Groups and Subgroups!

Prove that if a group G has no subgroup other than G and {e}, then G is cyclic....

2. Originally Posted by Vedicmaths
Prove that if a group G has no subgroup other than G and {e}, then G is cyclic....
Hint: Let $a\in G - \{ e\}$. Then contruct $\left< a\right>$.