关于群的素数图的注释

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2016-12-01 DOI:10.22108/IJGT.2016.9125

H. Dorbidi

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引用次数: 15

摘要

本文研究了群G的素图。群G的素图用G表示，其顶点是G的元素，且两个不同的顶点x和y相邻当且仅当(jxj;jyj) = 1。本文证明了(G) = !(G):我们对G是完全r部图或平面图的所有群进行了分类。同时研究了G的自同构群。

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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A NOTE ON THE COPRIME GRAPH OF A GROUP

In this paper we study the coprime graph of a group G. The coprime graph of a group G, denoted by G, is a graph whose vertices are elements of G and two distinct vertices x and y are adjacent if and only if ( jxj;jyj) = 1. In this paper, we show that ( G) = !( G) : We classify all the groups which G is a complete r partite graph or a planar graph. Also we study the automorphism group of G.

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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.