Explicit elements of norm one for cyclic groups

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dc.creatorAljadeff, Eli
dc.creatorKassel, Christian
dc.date2000-12-06
dc.date.accessioned2026-07-07T06:35:22Z
dc.date.available2026-07-07T06:35:22Z
dc.descriptionLet G be a cyclic p-group of order p^n acting by automorphisms on a (non-necessarily commutative) ring R. Suppose there is an element x in R such that (1 + t + ... + t^{p-1})(x) = 1, where t is an element of order p in G. We show how to construct an element y in R such that (1 + s + ... + s^{p^n-1})(y) = 1, where s is a generator of G.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0012038
dc.identifierhttp://arxiv.org/abs/math/0012038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99772
dc.subjectRings and Algebras
dc.subjectMathematical Physics
dc.subject16W22; 16U99; 20C05; 20J05
dc.titleExplicit elements of norm one for cyclic groups
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