On group theory 6

Groups, Rings, Domains, Modules, etc, Galois theory
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Papapetros Vaggelis
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On group theory 6

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Post by Papapetros Vaggelis »

Prove that a finite abelian group \(\displaystyle{\left(G,+\right)}\) is cyclic if, and only if, there does not exists a subgroup of \(\displaystyle{\left(G,+\right)}\) of the form \(\displaystyle{\left(\mathbb{Z}_{p}\times \mathbb{Z}_{p},+\right)}.\)
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