The tower of K-theory of truncated polynomial algebras

dc.creatorHesselholt, Lars
dc.date2007-02-28
dc.date2007-08-12
dc.date.accessioned2026-07-07T08:49:24Z
dc.date.available2026-07-07T08:49:24Z
dc.descriptionLet A a regular F_p-algebra. The relative K-groups K_q(A[x]/(x^m),(x)) and the Nil-groups Nil_q(A[x]/(x^m)) were evaluated earlier by the author and Madsen in terms of the big de Rham-Witt groups of the ring A. In this paper, we evaluate the maps of relative K-groups and Nil-groups induced by the canonical projection from A[x]/(x^m) to A[x]/(x^n). The result depends strongly on the prime p. It generalizes work of Stienstra on the groups in degrees 2 and 3.
dc.identifierhttps://arxiv.org/abs/math/0702877
dc.identifierhttp://arxiv.org/abs/math/0702877
dc.identifierJournal of Topology 1 (2008), 87-114
dc.identifierdoi:10.1112/jtopol/jtm007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144282
dc.subjectNumber Theory
dc.subjectK-Theory and Homology
dc.subject19D55, 19E15
dc.titleThe tower of K-theory of truncated polynomial algebras
dc.typetext

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