Finite p-groups all of whose maximal abelian subgroups are soft

被引：1

作者：

Qu HaiPeng ^{[1
]}

机构：

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

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 11期

基金：

中国国家自然科学基金;

关键词：

soft subgroup; p-group of maximal class; NONABELIAN SUBGROUPS; NC-GROUPS; AUTOMIZERS;

D O I：

10.1007/s11425-010-4083-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup A of a p-group G is said to be soft in G if C(G)(A) = A and vertical bar N(G)(A)/A vertical bar = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.

引用

页码：3037 / 3040

页数：4

共 50 条

[1] Finite p-groups all of whose maximal abelian subgroups are soft
HaiPeng Qu
Science China Mathematics, 2010, 53 : 3037 - 3040
[2] Finite p-groups all of whose maximal abelian subgroups are soft
QU HaiPeng Department of Mathematics
ScienceChina(Mathematics), 2010, 53 (11) : 3037 - 3040
[3] Finite p-groups all of whose subgroups of index p2 are abelian
Zhang, Qinhai
Sun, Xiujuan
An, Lijian
Xu, Mingyao
ALGEBRA COLLOQUIUM, 2008, 15 (01) : 167 - 180
[4] Finite non-elementary abelian p-groups whose number of subgroups is maximal
Qu, Haipeng
ISRAEL JOURNAL OF MATHEMATICS, 2013, 195 (02) : 773 - 781
[5] Finite non-elementary abelian p-groups whose number of subgroups is maximal
Haipeng Qu
Israel Journal of Mathematics, 2013, 195 : 773 - 781
[6] Finite p-groups all of whose non-abelian proper subgroups are metacyclic
Qinhai Zhang
Lijian An
Mingyao Xu
Archiv der Mathematik, 2006, 87 : 1 - 5
[7] FINITE p-GROUPS ALL OF WHOSE NON-NORMAL ABELIAN SUBGROUPS ARE CYCLIC
Zhang, Lihua
Zhang, Junqiang
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (08)
[8] Finite p-groups all of whose non-abelian proper subgroups are metacyclic
Zhang, Qinhai
An, Lijian
Xu, Mingyao
ARCHIV DER MATHEMATIK, 2006, 87 (01) : 1 - 5
[9] Finite p-groups all of whose maximal subgroups, except one, have cyclic derived subgroups
Janko, Zvonimir
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (01)
[10] Finite p-Groups Whose Abelian Subgroups Have a Trivial Intersection
Shi Rong LI Department of Mathematics
ActaMathematicaSinica(EnglishSeries), 2007, 23 (04) : 731 - 734

← 1 2 3 4 5 →