FINITE p-GROUPS WHOSE NON-CENTRAL CYCLIC SUBGROUPS HAVE CYCLIC QUOTIENT GROUPS IN THEIR CENTRALIZERS

被引：1

作者：

Zhang, Lihua ^{[1
]}

Wang, Jiao ^{[2
]}

Qu, Haipeng ^{[2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Beijing 100876, Peoples R China

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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 02期

关键词：

centralizers; non-central elements; normal rank; p-groups of maximal class; ELEMENTS;

D O I：

10.4134/BKMS.2015.52.2.367

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we classified finite p-groups G such that C-G (x)/< x > is cyclic for all non-central elements x is an element of G. This solved a problem proposed By Y. Berkovoch.

引用

页码：367 / 376

页数：10

共 7 条

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Xu, Mingyao
An, Lijian
Zhang, Qinhai
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