Finite groups with regular join graph of subgroups

被引：1

作者：

Ahmadi, Hadi ^{[1
]}

Taeri, Bijan ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 09期

关键词：

Graph on groups; subgroup graph; join of subgroups; INTERSECTION GRAPHS;

D O I：

10.1142/S021949881650170X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a non-trivial finite group different from a cyclic p-group. The join graph of G is a graph whose vertex set is the set of all proper subgroups of G which are not contained in the Frattini subgroup of G and two distinct vertices H and K are joined by an edge if and only if G = < H, K >. In this paper we classify finite groups with regular graphs and determine their graphs.

引用

页数：10

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