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
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