Expansion for cubes in the Heisenberg group

DOI10.1515/forum-2015-0230zbMath1430.20049OpenAlexW2780885844MaRDI QIDQ1689405

François Hennecart, Norbert Hegyvári

Publication date: 12 January 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2015-0230

zbMATH Keywords

Heisenberg groupssum-productgrowth in groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Other combinatorial number theory (11B75) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

On a theorem of Hegyvári and Hennecart ⋮ An energy decomposition theorem for matrices and related questions ⋮ Expansion for the product of matrices in groups ⋮ Some remarks on products of sets in the Heisenberg group and in the affine group ⋮ Expanding phenomena over matrix rings ⋮ Expanding phenomena over higher dimensional matrix rings

Cites Work

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• Substructure for product set in the Heisenberg groups
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• Counting sumsets and sum-free sets modulo a prime
• The sum-product estimate for large subsets of prime fields
• Growth Estimates in Positive Characteristic via Collisions
• Variations on the Sum-Product Problem
• On sums and products of residues modulo p
• Incidences of not-too-degenerate hyperplanes

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