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
[1]   On a conjecture of Alvis [J].
Barry, MJJ ;
Ward, MB .
JOURNAL OF ALGEBRA, 2005, 294 (01) :136-155
[2]  
Carter Roger W., 1993, FINITE GROUPS LIE TY
[3]  
Conway J. H., 1984, ATLAS FINITE GROUPS
[4]  
Enomoto Hikoe, 1972, Osaka J. Math, V9, P75
[5]   CHEVIE - A system for computing and processing generic character tables [J].
Geck, M ;
Hiss, G ;
Lubeck, F ;
Malle, G ;
Pfeiffer, G .
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 1996, 7 (03) :175-210
[6]  
GORENSTEIN D, 1994, SURVEYS MONO AM MATH, V40
[7]  
Isaacs I. M., 1976, CHARACTER THEORY FIN
[8]   An overview of graphs associated with character degrees and conjugacy class sizes in finite groups [J].
Lewis, Mark L. .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (01) :175-211
[9]   Diameters of degree graphs of nonsolvable groups, II [J].
Lewis, Mark L. ;
White, Donald L. .
JOURNAL OF ALGEBRA, 2007, 312 (02) :634-649
[10]   Corrigendurn to "Connectedness of degree graphs of nonsolvable groups" (vol 266, pg 51, 2003) [J].
Lewis, ML ;
White, DL .
JOURNAL OF ALGEBRA, 2005, 290 (02) :594-598