Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (III)

Haipeng Qu; Mingyao Xu; Lijian An

Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (III)

Group Theory 2013-10-29 v2

Authors: Haipeng Qu , Mingyao Xu , Lijian An

Abstract

In this paper, we finished the classification of three-generator finite $p$ -groups $G$ such that $\Phi(G)\le Z(G)$ . This paper is a part of classification of finite $p$ -groups with a minimal non-abelian subgroup of index $p$ , and partly solved a problem proposed by Y. Berkovich.

Keywords

finite p-groups minimal non-abelian subgroup group classification Frattini subgroup center of a group

Cite

@article{arxiv.1310.5496,
  title  = {Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (III)},
  author = {Haipeng Qu and Mingyao Xu and Lijian An},
  journal= {arXiv preprint arXiv:1310.5496},
  year   = {2013}
}

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