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

• 作 者: S.M.Robati
• 机 构: Department of Mathematics, Faculty of Science Imam Khomeini International University, Qazvin, Iran
• 出 处: 代数集刊（英文版）
• 发表日期: 2020年2期
• 关键词: conjugacy classes posets graphs finite groups

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 .In this paper,we characterize finite groups G whose associated digraphs Γc(G) are oriented trees.