Graphs of nonsolvable groups with four degree-vertices

被引：3

作者：

He LiGuo ^{[1
]}

Qian GuoHua ^{[2
]}

机构：

[1] Shenyang Univ Technol, Dept Math, Shenyang 100870, Peoples R China

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

来源：

SCIENCE CHINA-MATHEMATICS | 2015年 / 58卷 / 06期

基金：

中国国家自然科学基金;

关键词：

nonsolvable group; character degree; character degree graph;

D O I：

10.1007/s11425-014-4875-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. The degree (vertex) graph I"(G) attached to G is a character degree graph. Its vertices are the degrees of the nonlinear irreducible complex characters of G, and different vertices m, n are adjacent if the greatest common divisor (m, n) > 1. In this paper, we classify all graphs with four vertices that occur as I"(G) for nonsolvable groups G.

引用

页码：1305 / 1310

页数：6

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