Let $G$ be a group with order $p^2$, where $p$ is a prime. Prove that the center $Z(G)$ of $G$, it is not trivial subgroup of $G$.
P.S. This result it can be the first step to solve this.
Center of \(p\)-group
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Grigorios Kostakos
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Center of \(p\)-group
Grigorios Kostakos
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