Lower bounds for the number of conjugacy classes of finite groups

被引：9

作者：

Keller, Thomas Michael ^{[1
]}

机构：

[1] SW Texas State Univ, Dept Math, San Marcos, TX 78666 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

PERMUTATION-GROUPS; ORBITS;

D O I：

10.1017/S0305004109990090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2000, L. Hethelyi and B. Kulshammer proved that if p is a prime number dividing the order of a finite solvable group G, then G hits at least 2 root p - 1 conjugacy classes. In this paper we show that if p is large, the result remains true for arbitrary finite groups.

引用

页码：567 / 577

页数：11

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