An Elementary Classification of Symmetric 2-Cocycles

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dc.creatorHughes, Adam
dc.creatorLau, JohnMark
dc.creatorPeterson, Eric
dc.date2008-11-25
dc.date.accessioned2026-07-07T10:36:35Z
dc.date.available2026-07-07T10:36:35Z
dc.descriptionWe present a classification of the so-called "additive symmetric 2-cocycles" of arbitrary degree and dimension over Z/p, along with a partial result and some conjectures for m-cocycles over Z/p, m > 2. This expands greatly on a result originally due to Lazard and more recently investigated by Ando, Hopkins, and Strickland, which together with their work culminates in a complete classification of 2-cocycles over an arbitrary commutative ring. The ring classifying these polynomials finds application in algebraic topology, including generalizations of formal group laws and of cubical structures.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0811.4159
dc.identifierhttp://arxiv.org/abs/0811.4159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180100
dc.subjectCommutative Algebra
dc.subjectAlgebraic Topology
dc.subject18G35; 55N22
dc.titleAn Elementary Classification of Symmetric 2-Cocycles
dc.typetext

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