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Problem of the Week #295 - July 14, 2020

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Euge

MHB Global Moderator
Staff member
Jun 20, 2014
1,896
Here is this week's POTW:

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Let $G$ be a 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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