GROUPS WITH FEW CONJUGACY CLASSES

被引：7

作者：

Hethelyi, Laszlo ^{[1
]}

Horvath, Erzsebet ^{[1
]}

Keller, Thomas Michael ^{[2
]}

Maroti, Attila ^{[3
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, Dept Algebra, H-1521 Budapest, Hungary

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

[3] MTA Alfred Renyi Inst Math, H-1053 Budapest, Hungary

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2011年 / 54卷

关键词：

finite group; conjugacy classes; lower bound; Frobenius group; FINITE-GROUPS; NUMBER; CLASSIFICATION;

D O I：

10.1017/S001309150900176X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group, let p be a prime divisor of the order of G and let k(G) be the number of conjugacy classes of G. By disregarding at most finitely many non-solvable p-solvable groups G, we have k(G) >= 2 root p - 1 with equality if and only if root p - 1 is an integer, G = C(p) x C root p - 1 and C(G)(C(p)) = C(p). This extends earlier work of Hethelyi, Kulshammer, Malle and Keller.

引用

页码：423 / 430

页数：8

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