Product set phenomena for countable groups
Dynamical Systems
2016-02-22 v2 Group Theory
Number Theory
Abstract
We develop in this paper general techniques to analyze local combinatorial structures in product sets of two subsets of a countable group which are "large" with respect to certain classes of (not necessarily invariant) means on the group. As applications of our methods, we extend and quantify a series of recent results by Jin, Bergelson-Furstenberg-Weiss, Beiglb\"ock-Bergelson-Fish, Griesmer and DiNasso-Lupini to general countable groups.
Cite
@article{arxiv.1309.4262,
title = {Product set phenomena for countable groups},
author = {MIchael Björklund and Alexander Fish},
journal= {arXiv preprint arXiv:1309.4262},
year = {2016}
}
Comments
51 pages. Minor changes