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may 2011 Permanence properties of amenable, transitive and faithful actions
Soyoung Moon
Bull. Belg. Math. Soc. Simon Stevin 18(2): 287-296 (may 2011). DOI: 10.36045/bbms/1307452078

Abstract

We study hereditary properties of the class of countable groups admitting an amenable, transitive and faithful action on a countable set. We consider mainly the case of amalgamated free products, and we show in particular that the double of amenable groups and the amalgamated free products of two amenable groups over a finite subgroup admit such actions.

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Soyoung Moon. "Permanence properties of amenable, transitive and faithful actions." Bull. Belg. Math. Soc. Simon Stevin 18 (2) 287 - 296, may 2011. https://doi.org/10.36045/bbms/1307452078

Information

Published: may 2011
First available in Project Euclid: 7 June 2011

zbMATH: 1221.43002
MathSciNet: MR2848804
Digital Object Identifier: 10.36045/bbms/1307452078

Rights: Copyright © 2011 The Belgian Mathematical Society

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Vol.18 • No. 2 • may 2011
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