A Structure result for bricks in Heisenberg groups

Abstract

We show that for a sufficiently big \textit{brick} $B$ of the $(2n+1)$-dimensional Heisenberg group $H_n$ over the finite field ${\mathbb{F}}_p$, the product set $B\cdot B$ contains at least $|B|/p$ many cosets of some non trivial subgroup of $H_n$.

Cited by in corpus (3)

• Incidence bounds and applications over finite fields
• Distribution of determinant of sum of matrices
• A structure theorem for product sets in extra special groups