Author:
Koh Doowon,Pham Thang,Shen Chun-Yen,Le Anh Vinh
Abstract
Abstract
In this paper, we give strong lower bounds on the size of the sets of products of matrices in some certain groups. More precisely, we prove an analogue of a result due to Chapman and Iosevich for matrices in
{\mathrm{SL}_{2}(\mathbb{F}_{p})}
with restricted entries on a small set. We also provide extensions of some recent results on expansion for cubes in Heisenberg group due to Hegyvári and Hennecart.
Funder
National Research Foundation of Korea
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Ministry of Science and Technology, Taiwan
Subject
Applied Mathematics,General Mathematics
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