Translation numbers of groups acting on quasiconvex spaces (Q2702043)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Translation numbers of groups acting on quasiconvex spaces |
scientific article |
Statements
28 May 2002
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nonpositively curved spaces
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quasiconvex metric spaces
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translation numbers
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group actions
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group invariant metrics
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word metrics
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pull-back metrics
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Translation numbers of groups acting on quasiconvex spaces (English)
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The author discusses the properties of translation numbers of group actions on \(\delta\)-quasiconvex metric spaces in general and on ``nonpositively curved spaces'' in particular. The notion of translation number is quite a useful one since it has both algebraic and geometric aspects. It allows us to assign a ``length'' to each element of a group which is endowed with a group invariant metric (such as a word metric or a pull-back metric).NEWLINENEWLINEFor the entire collection see [Zbl 0940.00028].
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