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arXiv · 1406.2097

Groups with Tarski number 5

Gili Golan
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Abstract

The Tarski number of a non-amenable group G is the minimal number of pieces in a paradoxical decomposition of G. Until now the only numbers which were known to be Tarski numbers of some groups were 4 and 6. We construct a group with Tarski number 5 and mention a related result for Tarski numbers of group actions.

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Gili Golan. 2014-06-09. Groups with Tarski number 5. https://arxiv.org/abs/1406.2097

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