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

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

2009-09-15

arxiv.org/abs/0909.2824v4

Mathematics

Group Theory

14 pages, 1 figure

Scientific paper

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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