Parallelepipeds, nilpotent groups and Gowers norms
نویسندگان
چکیده
منابع مشابه
Parallelepipeds, Nilpotent Groups, and Gowers Norms
In his proof of Szemerédi’s Theorem, Gowers introduced certain norms that are defined on a parallelepiped structure. A natural question is on which sets a parallelepiped structure (and thus a Gowers norm) can be defined. We focus on dimensions 2 and 3 and show when this possible, and describe a correspondence between the parallelepiped structures and nilpotent groups.
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2008
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2561