稳定小组的地方方法

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Algebraic Combinatorics 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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来源期刊

Journal of Algebraic Combinatorics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Algebraic Combinatorics provides a single forum for papers on algebraic combinatorics which, at present, are distributed throughout a number of journals. Within the last decade or so, algebraic combinatorics has evolved into a mature, established and identifiable area of mathematics. Research contributions in the field are increasingly seen to have substantial links with other areas of mathematics. The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems.