关于几乎单群的2-Engel图的强连通性

IF 0.4 3区 数学 Q4 MATHEMATICS Journal of Group Theory Pub Date : 2023-09-19 DOI:10.1515/jgth-2023-0060
Francesca Dalla Volta, Fabio Mastrogiacomo, Pablo Spiga
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引用次数: 1

摘要

有限群𝐺的恩格尔图是对𝐺中满足某个恩格尔词的元素对进行编码的有向图。Lucchini和第三位作者最近的工作表明,除了少数被充分理解的情况外,几乎简单群的恩格尔图是强连接的。在本文中,我们对这一分析进行了改进。
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On the strong connectivity of the 2-Engel graphs of almost simple groups
Abstract The Engel graph of a finite group 𝐺 is a directed graph encoding the pairs of elements in 𝐺 satisfying some Engel word. Recent work of Lucchini and the third author shows that, except for a few well-understood cases, the Engel graphs of almost simple groups are strongly connected. In this paper, we give a refinement to this analysis.
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来源期刊
Journal of Group Theory
Journal of Group Theory 数学-数学
CiteScore
1.00
自引率
0.00%
发文量
45
审稿时长
6 months
期刊介绍: The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory
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