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- Title
Triangles in Cartesian Squares of Quasirandom Groups.
- Authors
BERGELSON, V.; ROBERTSON, D.; ZORIN-KRANICH, P.
- 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.
- Subjects
GROUP theory; ULTRAPRODUCTS; RECURSIVE sequences (Mathematics); PROBABILITY theory; FINITE simple groups
- Publication
Combinatorics, Probability & Computing, 2017, Vol 26, Issue 2, p161
- ISSN
0963-5483
- Publication type
Article
- DOI
10.1017/S0963548316000250