稳定小组的地方方法

Pub Date : 2024-06-25 DOI:10.1007/s10801-024-01345-8

Martin L. Newell, Marco Trombetti

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引用次数: 0

摘要

在这篇短文中，我们只用了基本换元微积分，就证明了菲利普-霍尔关于子群链稳定群无势定理的局部版本（霍尔定理是我们结果的直接结果）。这提供了一种处理稳定群的新方法。

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 local approach to stability groups

In this short note we prove a local version of Philip Hall’s theorem on the nilpotency of the stability group of a chain of subgroups by only using elementary commutator calculus (Hall’s theorem is a direct consequence of our result). This provides a new way of dealing with stability groups.

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