Abstract
Let $G$ be a non-amenable discrete group. We construct the paradoxical decomposition of $G$, by using the configuration equations under some conditions. This gives a positive answer to a question proposed by G. A. Willis. We find an upper bound for the Tarski number of a given group, by using configurations.
Citation
A. Rejali. A. Yousofzadeh. "Configuration of groups and paradoxical decompositions." Bull. Belg. Math. Soc. Simon Stevin 18 (1) 157 - 172, march 2011. https://doi.org/10.36045/bbms/1299766495
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