Title of article
Right amenable left group sets and the TarskiFØlner theorem
Author/Authors
Wacker ، Simon - Karlsruhe Institute of Technology
Pages
24
From page
21
To page
44
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
Serial Year
2017
Journal title
International Journal of Group Theory
Record number
2449081
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