True or false

Groups, Rings, Domains, Modules, etc, Galois theory
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Papapetros Vaggelis
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Joined: Mon Nov 09, 2015 1:52 pm

True or false

#1

Post by Papapetros Vaggelis »

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.
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