Finite $p$-groups all of whose subgroups of index $p^3$ are abelian

Qinhai Zhang, Libo Zhao, Miaomiao Li +1

Suppose that $G$ is a finite $p$-group. If all subgroups of index $p^t$ of $G$ are abelian and at least one subgroup of index $p^{t-1}$ of $G$ is not abelian, then $G$ is called an…