Degree graphs of simple linear and unitary groups

被引：31

作者：

White, Donald L. ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 08期

关键词：

character degrees; degree graphs; linear groups; simple groups; unitary groups;

D O I：

10.1080/00927870600639419

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). We determine the graph Delta(G) for the finite simple groups of types A(l)(q) and (2)A(l)(q(2)), that is, for the simple linear and unitary groups.

引用

页码：2907 / 2921

页数：15

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