On Class Size of p-Singular Elements in Finite Groups

被引：4

作者：

Qian, Guohua ^{[3
]}

Wang, Yanming ^{[1
,2
]}

机构：

[1] Zhongshan Univ, Lingnan Coll, Guangzhou 510275, Peoples R China

[2] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[3] Changshu Inst Technol, Dept Math, Changshu, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 04期

关键词：

Class size; Finite group; p-Singular element; SYLOW SUBGROUPS;

D O I：

10.1080/00927870802465910

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of this article is to study the connection between the structure of a finite group and the conjugacy class sizes of the p-singular elements of a finite group. The finite groups G in which every conjugacy class size of the p-singular elements satisfies some given arithmetic conditions are classified.

引用

页码：1172 / 1181

页数：10

共 7 条

[1] ON A GRAPH RELATED TO CONJUGACY CLASSES OF GROUPS
BERTRAM, EA
HERZOG, M
MANN, A
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1990, 22 : 569 - 575
[2] BERTRAM EA, 2003, COMMUN ALGEBRA, V31, P4393
[3] CAMINA AR, 1972, J LOND MATH SOC, V5, P127
[4] Non-abelian Sylow subgroups of finite groups of even order
Chigira, N
Iiyori, N
Yamaki, H
[J]. INVENTIONES MATHEMATICAE, 2000, 139 (03) : 525 - 539
[5] Gorenstein D., 1980, FINITE GROUP, V2nd
[6] LIANG D, J ALGEBRA UNPUB
[7] The largest character degree and the Sylow subgroups of finite groups
Qian, GH
Shi, WJ
[J]. JOURNAL OF ALGEBRA, 2004, 277 (01) : 165 - 171

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