Some remarks on products of sets in the Heisenberg group and in the affine group

2019/07/07 by Ilya D. Shkredov, Shkredov, Ilya D. · 1 citation
Computer Science · Mathematics · Social Sciences · #Advanced Mathematical Modeling in Engineering #Combinatorics (math.CO) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Urbanization and City Planning #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.1907.03357

16 pages

arxiv created 2019/07/07 · openalex publication_date 2019/07/07 · arxiv updated 2019/07/09 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

We obtain some new results on products of large and small sets in the Heisenberg group as well as in the affine group over the prime field. Also, we derive an application of these growth results to Freiman's isomorphism in nonabelian groups.

Cited by

• A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields

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