Finite nonsolvable groups whose character graphs have no triangles

被引:4
作者
Li, Tianze [2 ]
Liu, Yanjun [1 ]
Song, Xueling [3 ]
机构
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
关键词
Finite group; Character graph; CONJUGACY CLASSES; SOLVABLE-GROUPS; DIAMETER; TABLES;
D O I
10.1016/j.jalgebra.2010.01.019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we show that the alternating group A(5) is the only nonsolvable group whose character graph has no triangles. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:2290 / 2300
页数:11
相关论文
共 28 条
[21]   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
[22]   CHARACTERS OF FINITE SYMPLECTIC GROUP SP(4,Q)(1) [J].
SRINIVASAN, B .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 131 (02) :488-+
[23]   THE REPRESENTATIONS OF GL(3,Q), GL(4,Q), PGL(3,Q), AND PGL(4,Q) [J].
STEINBERG, R .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1951, 3 (02) :225-235
[24]   Degree graphs of simple orthogonal and symplectic groups [J].
White, Donald L. .
JOURNAL OF ALGEBRA, 2008, 319 (02) :833-845
[25]   Degree graphs of simple linear and unitary groups [J].
White, Donald L. .
COMMUNICATIONS IN ALGEBRA, 2006, 34 (08) :2907-2921
[26]   DEGREE GRAPHS OF SIMPLE GROUPS [J].
White, Donald L. .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (05) :1713-1739
[27]   Finite solvable groups whose character graphs are trees [J].
Wu, Yi-Tao ;
Zhang, Pu .
JOURNAL OF ALGEBRA, 2007, 308 (02) :536-544
[28]   A note on character degrees of finite solvable groups [J].
Zhang, JP .
COMMUNICATIONS IN ALGEBRA, 2000, 28 (09) :4249-4258