# Groups and Subgroups!

• July 10th 2008, 09:27 AM
Vedicmaths
Groups and Subgroups!
Prove that if a group G has no subgroup other than G and {e}, then G is cyclic....
• July 10th 2008, 09:46 AM
ThePerfectHacker
Quote:

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 $\left< a\right>$.