On a Graph Related to Subgroups Generated by a Conjugacy Class in Finite Groups

被引：0
|
作者：
Robati, S. M. [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran
来源：
ALGEBRA COLLOQUIUM | 2020年 / 27卷 / 02期
关键词：
conjugacy classes; posets; graphs; finite groups; IRREDUCIBLE CHARACTERS; ODD-ORDER; PRODUCTS; CLASSIFICATION;
D O I：
10.1142/S1005386720000164
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a group, and let (Gamma(C)) over bar (G) be a digraph whose vertices are the non-trivial conjugacy classes of G and there is an arc from a vertex C to a vertex C' if and only if C not equal C' and < C > subset of < C'>. In this paper, we characterize finite groups G whose associated digraphs (Gamma(C)) over bar (G) are oriented trees.
引用
收藏
页码：193 / 198
页数：6
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