Configuration of groups and paradoxical decompositions
Rejali, A. ; Yousofzadeh, A.
Bull. Belg. Math. Soc. Simon Stevin, Tome 18 (2011) no. 1, p. 157-172 / Harvested from Project Euclid
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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.
Publié le : 2011-03-15
Classification:  Amenability,  Configuration,  Paradoxical decomposition,  43A07 
@article{1299766495,
     author = {Rejali, A. and Yousofzadeh, A.},
     title = {Configuration of groups and paradoxical decompositions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {18},
     number = {1},
     year = {2011},
     pages = { 157-172},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1299766495}
}

Rejali, A.; Yousofzadeh, A. Configuration of groups and paradoxical decompositions. Bull. Belg. Math. Soc. Simon Stevin, Tome 18 (2011) no. 1, pp.  157-172. http://gdmltest.u-ga.fr/item/1299766495/