Parallelepipeds, nilpotent groups and Gowers norms

Bernard Host, Bryna Kra

Type: Article

Publication Date: 2008-01-01

Citations: 30

DOI: https://doi.org/10.24033/bsmf.2561

Abstract

Dans sa preuve du théorème de Szemerédi, Gowers a introduit certaines normes définies par sommation sur des parallélépipèdes. Il est naturel de se demander sous quelles hypothèses on peut généraliser sa définition des parallélépipèdes et donc de ses normes. Nous nous restreignons aux dimensions 2 et 3 et décrivons une correspondance entre structures de parallélépipèdes et groupes nilpotents.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Bulletin de la Société mathématique de France - View - PDF

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