Title of article :
Right amenable left group sets and the TarskiFØlner theorem
Author/Authors :
Wacker ، Simon - Karlsruhe Institute of Technology
Abstract :
We introduce right amenability, right FØlner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-FØlner theorem for left homogeneous spaces with finite stabilisers. It states that right amenability, the existence of right FØlner nets, and the non-existence of right paradoxical decompositions are equivalent.
Keywords :
left group actions , right amenability , right Følner nets , right paradoxical decompositions , Tarski , Følner theorem.
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
