FINITE-GROUPS WITH MANY CONJUGATE ELEMENTS

被引：19

作者：

ZHANG, JP

机构：

[1] DMI,ECOLE NORMALE SUPER,PARIS,FRANCE

[2] BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA

来源：

JOURNAL OF ALGEBRA | 1994年 / 170卷 / 02期

关键词：

D O I：

10.1006/jabr.1994.1356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the following long-standing conjecture in the theory of finite groups: Finite solvable groups with no two distinct conjugacy classes of the same length are isomorphic to the symmetric group of degree 3. (C) 1994 Academic Press, Inc.

引用

页码：608 / 624

页数：17

共 17 条

[1] FINITE-GROUPS IN WHICH THE DEGREES OF THE NONLINEAR IRREDUCIBLE CHARACTERS ARE DISTINCT [J].