A constructive way to compute the Tarski number of a group
Group Theory
2018-04-10 v2
Abstract
The Tarski number of a group is the minimal number of the pieces of paradoxical decompositions of that group. Using configurations along with a matrix combinatorial property we construct paradoxical decompositions. We also compute an upper bound for the Tarski number of a given non-amenable group by counting the number of paths in a diagram associated to the group.
Keywords
Cite
@article{arxiv.1509.01568,
title = {A constructive way to compute the Tarski number of a group},
author = {Akram Yousofzadeh},
journal= {arXiv preprint arXiv:1509.01568},
year = {2018}
}
Comments
25 pages