On exactness and isoperimetric profiles of discrete groups (Q868934)
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scientific article; zbMATH DE number 5129777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On exactness and isoperimetric profiles of discrete groups |
scientific article; zbMATH DE number 5129777 |
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On exactness and isoperimetric profiles of discrete groups (English)
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26 February 2007
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From author's abstract: We introduce a quasi-isometry invariant related to Property A and explore its connections to various other invariants of finitely generated groups. This allows to establish a direct relation between the asymptotic dimension on one hand and random walks on the other. Property A has been introduced by \textit{G. Yu} in [Invent. Math. 139, No.~1, 201--240 (2000; Zbl 0956.19004)]. The present paper is also related to Vershik's works on amenable groups.
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amenability
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property A
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isoperimetric profile
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coarse embedding
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