双曲空间上一致正确作用的有限生成群

Pub Date : 2020-07-27 DOI:10.4171/ggd/659

Robert P. Kropholler, V. Vankov

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引用次数: 2

摘要

我们构造了在双曲空间上一致正确作用的不可数群序列。我们证明了这些群中只有可计数的许多是几乎无扭转的。这给出了群在双曲空间上一致正确作用的新例子，这些双曲空间实际上不是无扭的，也不可能是双曲群的子群。

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Finitely generated groups acting uniformly properly on hyperbolic space

We construct an uncountable sequence of groups acting uniformly properly on hyperbolic spaces. We show that only countably many of these groups can be virtually torsion-free. This gives new examples of groups acting uniformly properly on hyperbolic spaces that are not virtually torsion-free and cannot be subgroups of hyperbolic groups.

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