- Thread starter
- Moderator
- #1

- Jun 20, 2014

- 1,909

Here is this week's POTW:

-----

Let $G$ be a noncyclic finite group of order $pn$ where $p$ is a prime such that $p!$ is coprime to $n$. Prove that if $G$ has an element of order $n$, then $p$ is a prime divisor of $\phi(n)$.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!

-----

Let $G$ be a noncyclic finite group of order $pn$ where $p$ is a prime such that $p!$ is coprime to $n$. Prove that if $G$ has an element of order $n$, then $p$ is a prime divisor of $\phi(n)$.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!

Last edited: