- #1

Euge

Gold Member

MHB

POTW Director

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Here is this week's POTW:

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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 $\phi(n)$.

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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 $\phi(n)$.

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