Diameters of degree graphs of nonsolvable groups, II

被引：9

作者：

Lewis, Mark L. ^{[1
]}

White, Donald L. ^{[1
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

JOURNAL OF ALGEBRA | 2007年 / 312卷 / 02期

关键词：

character degrees; degree graphs; nonsolvable groups;

D O I：

10.1016/j.jalgebra.2007.02.057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and let cd(G) be the set of irreducible character degrees of G. The degree graph Delta(G) is the graph whose set of vertices is the set of primes that divide degrees in cd(G), with an edge between p and q if pq divides a for some degree a is an element of cd(G). It is shown using the degree graphs of the finite simple groups that if G is a nonsolvable group, then the diameter of Delta(G) is at most 3. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：634 / 649

页数：16

共 19 条

[1] On a conjecture of Alvis [J].