During my research I came across this question, I proposed it in the chat, but nobody could find a counterexample, so I allow myself to ask you :

$G$ a group, with $p$ a prime number, and $|G|=2^p-1$, is it abelian ?

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During my research I came across this question, I proposed it in the chat, but nobody could find a counterexample, so I allow myself to ask you :

$G$ a group, with $p$ a prime number, and $|G|=2^p-1$, is it abelian ?

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