自由群代数净图的无穷性质

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-07-14 DOI:10.1016/j.jpaa.2024.107775

Kasia Jankiewicz , Kevin Schreve

引用次数: 0

摘要

我们证明，对于每一个素数 p，群的代数干净图实际上是残差 p 有限的，并且同调 p 完全。我们还证明它们在同调上是好的。我们将此应用于某些二维阿尔丁群。

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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Profinite properties of algebraically clean graphs of free groups

We prove that for every prime p algebraically clean graphs of groups are virtually residually p-finite and cohomologically p-complete. We also prove that they are cohomologically good. We apply this to certain 2-dimensional Artin groups.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.