Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (IV)
Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (IV)
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DOI：
10.1142/s0219498814500327
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发表时间：
2013-10
期刊：
影响因子：
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通讯作者：
Lijian An;Ruifang Hu;Qinhai Zhang
中科院分区：
文献类型：
--
作者：
Lijian An;Ruifang Hu;Qinhai Zhang
本文完成了三生成元有限p-群G使得\Phi（G）\le Z（G）的分类.本文是具有指数为p的极小非交换子群的有限p-群的分类的一部分，部分地解决了Y.伯科维奇
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.