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.
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收藏
页码：567 / 577
页数：11
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