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

页码：193 / 198

页数：6

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