Characterization of some families of simple groups by their intersection graphs

被引：4

作者：

Shahsavari, Hossein ^{[1
]}

Khosravi, Behrooz ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Dept Pure Math, Fac Math & Comp Sci, 424 Hafez Ave, Tehran 15914, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 03期

关键词：

Intersection graph; leaf; simple group; characterization; lattice of subgroups; FINITE; SUBGROUPS;

D O I：

10.1080/00927872.2019.1682151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a finite group G, the intersection graph of G denoted 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 In this paper we discuss about the existence of a leaf in the intersection graph of a finite group and specially in a nonabelian finite simple group. Also we determine some families of finite nonabelian simple groups which are characterizable by their intersection graphs.

引用

页码：1266 / 1280

页数：15

共 19 条

[1] The intersection graph of a group [J].