On finite capable $p$-groups of class 2 with cyclic commutator subgroups

Mathematics – Group Theory

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4 pages, first version

Scientific paper

We study finite capable $p$-groups $G$ of nilpotency class 2 such that the
commutator subgroup $\gamma_2(G)$ of $G$ is cyclic and the center of $G$ is
contained in the Frattini subgroup of $G$.

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