The largest lengths of conjugacy classes of finite groups

被引：0

作者：

He, LG ^{[1
]}

Qian, GH

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Changshu Inst Technol, Dept Math, Changshu 215500, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 03期

关键词：

finite group; conjugacy class; Sylow subgroup;

D O I：

10.1142/S1005386705000489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let bcl(G) denote the largest conjugacy class length of a finite group G. In this note, we prove that if bel(G) < p(2) for a prime p, then vertical bar G : O-p(G)vertical bar(p) <= p.

引用

页码：531 / 534

页数：4

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