Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property
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freeactionsamalgamatedamenablecyclicgroupsproductssubgroup
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We show that the class of amalgamated free products of two free groups over a cyclic subgroup admits amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on 2 generators.
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