On the intersection graph of a finite group

被引：0
|
作者：
Hossein Shahsavari
Behrooz Khosravi
机构：
[1] Amirkabir University of Technology (Tehran Polytechnic),Department of Pure Mathematics, Faculty of Mathematics and Computer Science
来源：
Czechoslovak Mathematical Journal | 2017年 / 67卷
关键词：
intersection graph; regular graph; simple group; automorphism group; 05C25; 20E32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For a finite group G, the intersection graph of G which is denoted by Γ(G) is an undirected graph such that its vertices are all nontrivial proper subgroups of G and two distinct vertices H and K are adjacent when H ∩ K ≠ 1. In this paper we classify all finite groups whose intersection graphs are regular. Also, we find some results on the intersection graphs of simple groups and finally we study the structure of Aut(Γ(G)).
引用
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页码：1145 / 1153
页数：8
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