论与有限群相关的增强幂图中的邻域

arXiv - MATH - Group Theory Pub Date : 2024-08-29 DOI:arxiv-2408.16545

Mark L. Lewis, Carmine Monetta

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摘要

本文研究与有限群相关的增强幂图（即循环图）中邻域的大小。特别是，我们描述了在其增强幂图中，非琐元素邻域的最大尺寸最小的有限 $p$ 群的特征。

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 neighborhoods in the enhanced power graph associated with a finite group

This article investigates neighborhoods' sizes in the enhanced power graph (as known as the cyclic graph) associated with a finite group. In particular, we characterize finite $p$-groups with the smallest maximum size for neighborhoods of nontrivial element in its enhanced power graph.

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arXiv - MATH - Group Theory

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