A structure theorem for product sets in extra special groups
https://doi.org/10.1016/j.jnt.2017.08.031Publisher, magazine: ,
Publication year: 2018
Lưu Trích dẫn Chia sẻAbstract
Hegyvári and Hennecart showed that if B 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.
Tags: Extra special group; Quasigroup; Arithmetic combinatorics.
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A structure theorem for product sets in extra special groups