关于第 II 组的共最大子群图

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-20 DOI:10.1007/s11587-023-00836-3

Angsuman Das, Manideepa Saha

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引用次数: 0

摘要

在这篇续篇论文中，我们将继续研究群 G 的共最大子群图（\Gamma (G)\) ）。我们将进一步讨论一些关于连通性以及当（\Gamma (G)\) 是无边的结果。此外，我们还研究了 \(\Gamma (G)\) 的独立数、色度数和完备性。在这个过程中，我们证明了如果独立数适当小，那么底层群是可解的。我们还对某些群的同最大子群图进行了分类，直至同构。

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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On co-maximal subgroup graph of a group-II

In this sequel paper, we continue our study on co-maximal subgroup graph \(\Gamma (G)\) of a group G. We discuss some further results on connectedness and when \(\Gamma (G)\) is edgeless. Moreover, we study the independence number, chromatic number and perfectness of \(\Gamma (G)\). In the process, we show that if the independence number is suitably small, then the underlying group is solvable. We also classify co-maximal subgroup graphs of certain groups upto isomorphism.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.