DEGREE GRAPHS OF SIMPLE GROUPS

被引:28
作者
White, Donald L. [1 ]
机构
[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
关键词
NONSOLVABLE GROUPS; CHARACTER DEGREES; DIAMETERS; TABLES;
D O I
10.1216/RMJ-2009-39-5-1713
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 compile here the graphs Delta(G) for all finite simple groups G.
引用
收藏
页码:1713 / 1739
页数:27
相关论文
共 21 条
[11]   Diameters of degree graphs of nonsolvable groups [J].
Lewis, ML ;
White, DL .
JOURNAL OF ALGEBRA, 2005, 283 (01) :80-92
[12]   Connectedness of degree graphs of nonsolvable groups [J].
Lewis, ML ;
White, DL .
JOURNAL OF ALGEBRA, 2003, 266 (01) :51-76
[13]   ON THE NUMBER OF COMPONENTS OF A GRAPH RELATED TO CHARACTER DEGREES [J].
MANZ, O ;
STASZEWSKI, R ;
WILLEMS, W .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (01) :31-37
[14]  
MANZ O, 1989, J REINE ANGEW MATH, V402, P181
[15]  
Manz O., 1993, Representations of Solvable Groups
[16]   CHARACTER TABLES FOR SL(3,Q), SU(3,Q2), PSL(3,Q), PSU(3,Q2) [J].
SIMPSON, WA ;
FRAME, JS .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1973, 25 (03) :486-494
[17]   CHARACTERS OF FINITE SYMPLECTIC GROUP SP(4,Q)(1) [J].
SRINIVASAN, B .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 131 (02) :488-+
[18]  
The GAP Group, 2006, GAP GROUPS ALG PROGR
[19]   Degree graphs of simple groups of exceptional Lie type [J].
White, DL .
COMMUNICATIONS IN ALGEBRA, 2004, 32 (09) :3641-3649
[20]   Degree graphs of simple orthogonal and symplectic groups [J].
White, Donald L. .
JOURNAL OF ALGEBRA, 2008, 319 (02) :833-845