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.
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页码：201 / 221
页数：21
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