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

• 作者: S.M.Robati
• 来源期刊: 代数集刊（英文版）
• 关键词: conjugacy classes posets graphs finite groups
• 年，卷（期）: 2020,（2）
• 页码范围: 193-198
• 页数: 6页
• 语种: 英文
• DOI: 10.1142/S1005386720000164

摘要

Let G be a group,and let (→Γ)C(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 ≠ C'and <C) (C) <C'>.In this paper,we characterize finite groups G whose associated digraphs Γc(G) are oriented trees.