Groups, Geometry, and Dynamics

Full-Text PDF (351 KB) | Metadata | Table of Contents | GGD summary
Volume 4, Issue 2, 2010, pp. 309–332
DOI: 10.4171/GGD/85

Published online: 2010-02-21

Amenable actions of amalgamated free products

Soyoung Moon[1]

(1) Université de Neuchâtel, Switzerland

We prove that the amalgamated free product of two free groups of rank two over a common cyclic subgroup admits an amenable, faithful, transitive action on an infinite countable set. We also show that any finite index subgroup admits such an action, which applies for example to surface groups and fundamental groups of surface bundles over S1.

Keywords: Amenable actions, amalgamated free products

Moon Soyoung: Amenable actions of amalgamated free products. Groups Geom. Dyn. 4 (2010), 309-332. doi: 10.4171/GGD/85