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

作　　者：S.M.Robati 

机构地区：[1]Department of Mathematics,Faculty of Science Imam Khomeini International University,Qazvin,Iran

出　　处：《Algebra Colloquium》2020年第2期193-198,共6页代数集刊（英文版）

摘　　要：Let G be a group,and let →/ΓC(G) be a digraph whose vertices are the nontrivial 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').In this paper,we characterize finite groups G whose associated digraphs →/ΓC(G) are oriented trees.

关 键 词：conjugacy classes POSETS GRAPHS finite groups 

分 类 号：O152[理学—数学]