Recent content by Borvorn

  1. B

    1 maximal subgroup -> prime order

    I know that this post is old, but since it is top result when i google this problem, I think it would be good if i give further detail of solution. Let $a \in G \setminus M$. Then $a$ generate $G$ which mean $G$ is cyclic. Suppose $|G| = p_{1}^{r_{1}}...p_{n}^{r_{n}}$ where $p_{i}$ is prime. So...