An upper bound for the Tarski numbers of nonamenable groups of piecewise projective homeomorphisms

DOI10.1142/S0218196717500151zbMath1367.43001arXiv1604.05997OpenAlexW2964139739MaRDI QIDQ5269896

Yash Lodha

Publication date: 28 June 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05997

zbMATH Keywords

free groupamenablefinitely presentedpiecewiseprojectivetorsion freeTarski number

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (4)

Amenability of Groups and G-Sets ⋮ A brief introduction to amenable equivalence relations ⋮ Non-triviality of the Poisson boundary of random walks on the group of Monod ⋮ Coherent actions by homeomorphisms on the real line or an interval

Cites Work

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• A nonamenable finitely presented group of piecewise projective homeomorphisms
• The Tarski numbers of groups
• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
• Groups of piecewise projective homeomorphisms

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