Tensor Quasi-Random Groups
Group Theory
2021-03-23 v1 Representation Theory
Abstract
Gowers has elegantly characterized the finite groups in which for any positive density subsets . This property, quasi-randomness, holds if and only if G does not admit a nontrivial irreducible representation of constant dimension. We present a dual characterization of tensor quasi-random groups in which multiplication of subsets is replaced by tensor product of representations.
Cite
@article{arxiv.2103.11048,
title = {Tensor Quasi-Random Groups},
author = {Mark Sellke},
journal= {arXiv preprint arXiv:2103.11048},
year = {2021}
}