Triangles in cartesian squares of quasirandom groups
Dynamical Systems
2018-03-13 v2
Abstract
We prove that triangular configurations are plentiful in large subsets of cartesian squares of finite quasirandom groups from classes having the quasirandom ultraproduct property, for example the class of finite simple groups. This is deduced from a strong double recurrence theorem for two commuting measure-preserving actions of a minimally almost periodic (not necessarily amenable or locally compact) group on a (not necessarily separable) probability space.
Cite
@article{arxiv.1410.5385,
title = {Triangles in cartesian squares of quasirandom groups},
author = {Vitaly Bergelson and Donald Robertson and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1410.5385},
year = {2018}
}
Comments
16 pages