几乎自由的循环群

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials 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。

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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

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464