Finite solvable groups whose character graphs are trees

被引:5
作者
Wu, Yi-Tao
Zhang, Pu [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China
基金
中国国家自然科学基金;
关键词
finite groups; character graph;
D O I
10.1016/j.jalgebra.2006.09.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to classify all the finite solvable groups G whose character graphs Gamma(G) have no triangles: they are exactly the finite groups with at most two non-linear irreducible characters, and the symmetric group S-4. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:536 / 544
页数:9
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