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True or false

Groups, Rings, Domains, Modules, etc, Galois theory
Papapetros Vaggelis
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True or false

Examine if the following is true.

If $\displaystyle{p}$ is a prime number and$\displaystyle{\left(G,\cdot\right)}$ is a group

such that $\displaystyle{o(G)=p^3}$ and $\displaystyle{x^p=1\,,\forall\,x\in G}$ then

$\displaystyle{\left(G,\cdot\right)}$ is abelian.