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Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property

Soyoung Moon — 2011

Annales mathématiques Blaise Pascal

We show that the amalgamated free products of two free groups over a cyclic subgroup admit amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on two generators.

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