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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… Click to show full 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 SL 2 ( ???? p ) {\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.
Keywords:
product matrices;
expansion product;
matrices groups;
expansion
Journal Title: Forum Mathematicum
Year Published: 2018
Link to full text (if available)
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Journal Title: Forum Mathematicum
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!