Parallelepipeds, Nilpotent Groups, and Gowers Norms

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dc.creatorHost, Bernard
dc.creatorKra, Bryna
dc.date2006-05-31
dc.date.accessioned2026-07-07T07:14:41Z
dc.date.available2026-07-07T07:14:41Z
dc.descriptionIn his proof of Szemeredi'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 nilpotent groups.
dc.identifierhttps://arxiv.org/abs/math/0606004
dc.identifierhttp://arxiv.org/abs/math/0606004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112980
dc.subjectCombinatorics
dc.subjectDynamical Systems
dc.subject11B75
dc.titleParallelepipeds, Nilpotent Groups, and Gowers Norms
dc.typetext

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