A structure theorem for product sets in extra special groups

Abstract

Hegyvári and Hennecart showed that if $B$ is a sufficiently large brick of a Heisenberg group, then the product set $B\cdot B$ 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.

This manuscript has been updated to include referee corrections. To appear in Journal of Number Theory

References in corpus (1)

• A Structure result for bricks in Heisenberg groups