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

Abstract

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 $G$.

4 pages, first version