An overview of graphs associated with character degrees and conjugacy class sizes in finite groups

被引：98
作者：
Lewis, Mark L. [1 ]
机构：
[1] Kent State Univ, Dept Math, Kent, OH 44242 USA
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2008年 / 38卷 / 01期
关键词：
D O I：
10.1216/RMJ-2008-38-1-175
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：175 / 211
页数：37
相关论文
共 77 条
[21]   ARITHMETICAL CONDITIONS ON THE LENGTH OF THE CONJUGACY CLASSES OF A FINITE-GROUP [J].
DOLFI, S .
JOURNAL OF ALGEBRA, 1995, 174 (03) :753-771
[22]   Finite groups with graphs containing no triangles [J].
Fang, M ;
Zhang, P .
JOURNAL OF ALGEBRA, 2003, 264 (02) :613-619
[23]   A PROOF OF SZEPS CONJECTURE ON NONSIMPLICITY OF CERTAIN FINITE-GROUPS [J].
FISMAN, E ;
ARAD, Z .
JOURNAL OF ALGEBRA, 1987, 108 (02) :340-354
[24]  
HUPPERT B, 1991, PROG MATH, V95, P17
[25]  
HUPPERT B, 1998, EXPOSITIONS MATH, V25
[26]  
Huppert B., 1982, FINITE GROUPS
[27]  
Isaacs I.M., 1976, CHARACTER THEORY FIN
[28]   COPRIME GROUP-ACTIONS FIXING ALL NONLINEAR IRREDUCIBLE CHARACTERS [J].
ISAACS, IM .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1989, 41 (01) :68-82
[29]   Character degree graphs and normal subgroups [J].
Isaacs, IM .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (03) :1155-1183
[30]   PERMUTATION GROUP SUBDEGREES AND THE COMMON DIVISOR GRAPH [J].
ISAACS, IM ;
PRAEGER, CE .
JOURNAL OF ALGEBRA, 1993, 159 (01) :158-175
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