几乎自由的循环群

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2024-07-22 DOI:10.1007/s00039-024-00687-6

Dawid Kielak, Marco Linton

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引用次数: 0

摘要

我们获得了双曲群和近似紧凑特殊群中近似自由逐周期群的同调特性。因此，我们证明了许多已知的相干群实际上具有更强的性质，即实际上是自由逐周期群。特别是，我们证明了所有具有扭转的单链群都是近似自由逐周期群，从而解决了鲍姆斯拉格的一个猜想。

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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Virtually Free-by-Cyclic Groups

We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many groups known to be coherent actually possess the stronger property of being virtually free-by-cyclic. In particular, we show that all one-relator groups with torsion are virtually free-by-cyclic, solving a conjecture of Baumslag.

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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.