A structure theorem for product sets in extra special groups
Number Theory
2018-08-28 v2 Combinatorics
Abstract
Hegyv\'ari and Hennecart showed that if is a sufficiently large brick of a Heisenberg group, then the product set contains many cosets of the center of the group. We give a new, robust proof of this theorem that extends to all extra special groups as well as to a large family of quasigroups.
Keywords
Cite
@article{arxiv.1704.07849,
title = {A structure theorem for product sets in extra special groups},
author = {Thang Pham and Michael Tait and Le Anh Vinh and Robert Won},
journal= {arXiv preprint arXiv:1704.07849},
year = {2018}
}
Comments
This manuscript has been updated to include referee corrections. To appear in Journal of Number Theory