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arXiv · 1704.07849

A structure theorem for product sets in extra special groups

Thang Pham·Michael Tait·Le Anh Vinh·Robert Won
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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.

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Thang Pham, Michael Tait, Le Anh Vinh, Robert Won. 2017-09-11. A structure theorem for product sets in extra special groups. https://doi.org/10.1016/j.jnt.2017.08.031

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