关于$Z_n的共极大子群图$

IF 0.7 Q2 MATHEMATICS International Journal of Group Theory Pub Date : 2021-09-29 DOI:10.22108/IJGT.2021.129788.1732

M. Saha, Sucharita Biswas, Angsuman Das

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引用次数: 2

摘要

群$G$的共极大子群图$Gamma（G）$是一个图，其顶点是$G$中的非平凡真子群，并且如果$HK=G$，则两个顶点$H$和$K$是相邻的。本文研究并刻画了$Gamma（mathbb{Z}_n)$。

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On Co-Maximal Subgroup Graph of $Z_n$

The co-maximal subgroup graph $Gamma(G)$ of a group $G$ is a graph whose vertices are non-trivial proper subgroups of $G$ and two vertices $H$ and $K$ are adjacent if $HK = G$. In this paper, we study and characterize various properties like diameter, domination number, perfectness, hamiltonicity, etc. of $Gamma(mathbb{Z}_n)$.

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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.

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