%0 Journal Article
%T Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (IV)
%A Lijian An
%A Ruifang Hu
%A Qinhai Zhang
%J Mathematics
%D 2013
%I arXiv
%R 10.1142/s0219498814500327
%X In this paper, we completely classify the finite $p$-groups $G$ such that $\Phi(G')G_3\le C_p^2$, $\Phi(G')G_3\le Z(G)$ and $G/\Phi(G')G_3$ is minimal non-abelian. This paper is a part of the classification of finite $p$-groups with a minimal non-abelian subgroup of index $p$. Together with other four papers, we solve a problem proposed by Y. Berkovich.
%U http://arxiv.org/abs/1310.5503v2