Permanent properties of amenable, transitive and faithful actions

Mathematics – Group Theory

Scientific paper

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9 pages, 1 figure. Accepted in Bull. Belgian MAth. Soc.

Scientific paper

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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