Some properties of power graphs in finite group

被引：4

作者：

Jafari, S. H. ^{[1
]}

机构：

[1] Shahrood Univ Technol, Dept Math, POB 3619995161-316, Shahrood, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2016年 / 9卷 / 04期

关键词：

Automorphisms; Nilpotent groups;

D O I：

10.1142/S1793557116500790

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The power graph of a group is the graph whose vertex set is the set of nontrivial elements of group, two elements being adjacent if one is a power of the other. We prove some beautiful results in power graphs of finite groups. Then we conclude two finite groups with isomorphic power graphs have the same number of elements of each order from the different way of [P. J. Cameron, The power graph of a finite group II, J. Group Theory 13 (2010) 779-783].

引用

页数：6

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