NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS

被引：6

作者：

Zhang, Qinhai ^{[1
]}

Gao, Juan ^{[1
]}

机构：

[1] Shanxi Normal Univ, Dept Math, Linfen 041004, Shanxi, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 01期

关键词：

finite p-groups; nonnormal subgroups; self-normalizer; central extensions;

D O I：

10.4134/JKMS.2012.49.1.201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with vertical bar N-G(H) : H vertical bar = p(i) for all nonnormal subgroups H are classified up to isomorphism. As a corollary, this answers Problem 116(i) proposed by Y. Berkovich in his book "Groups of Prime Power Order Vol. 1" in 2008.

引用

页码：201 / 221

页数：21

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