On groups with specified quotient power graphs

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2016-09-01 DOI:10.22108/IJGT.2016.8542

Mostafa Shaker, M. Iranmanesh

引用次数: 0

Abstract

In this paper we study some relations between the power and quotient power graph of a nite group. These interesting relations motivate us to nd some graph theoretical properties of the quotient power graph and the proper quotient power graph of a nite group G. In addition, we classify those groups whose quotient (proper quotient) power graphs are isomorphic to trees or paths.

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关于具有指定商幂图的群

本文研究了一群幂图与商幂图之间的一些关系。这些有趣的关系促使我们发现了n群g的商幂图和真商幂图的一些图论性质，并对商(真商)幂图同构于树或路径的群进行了分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.