Bulletin of the Belgian Mathematical Society - Simon Stevin

Permanence properties of amenable, transitive and faithful actions

Soyoung Moon

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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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 18, Number 2 (2011), 287-296.

Dates
First available in Project Euclid: 7 June 2011

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1307452078

Mathematical Reviews number (MathSciNet)
MR2848804

Zentralblatt MATH identifier
1221.43002

Citation

Moon, Soyoung. Permanence properties of amenable, transitive and faithful actions. Bull. Belg. Math. Soc. Simon Stevin 18 (2011), no. 2, 287--296. https://projecteuclid.org/euclid.bbms/1307452078


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