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Questions about the branch of algebra that deals with groups.
1
vote
Exponent of a group
The result I have seen is that every finite group $G$ of exponent $3$ such as $3$ does not divide $o(G)$ is abelian.
It generalises the following way : every n-abelian group (such as $(xy)^n=x^n …
3
votes
4
answers
7k
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Exponent of a group
It is well known that every group of exponent $n=2$ is abelian. I remember having seen that this is also the case for $n=3$. (can someone give a proof). How does this generalize to any $n$ or to any p …