Liftable D_4-Covers

dc.creatorBrewis, Louis Hugo
dc.date2007-08-29
dc.date.accessioned2026-07-07T08:26:24Z
dc.date.available2026-07-07T08:26:24Z
dc.descriptionLet k be an algebraically closed field of characteristic p and let G be a subgroup of Aut(k[[t]]) be a faithful action on a local power series ring over k. Let R be a discrete valuation ring of characteristic 0 with residue field k. One asks, whether it is possible to find a faithful action G inside Aut(R[[t]]) which reduces to the given action, i.e. a lift to characteristic 0. We show that liftable actions exists in the case that G = D_4 and p = 2. In fact we introduce a family, the supersimple D_4 -actions, which can always be lifted to characteristic 0.
dc.identifierhttps://arxiv.org/abs/0708.3952
dc.identifierhttp://arxiv.org/abs/0708.3952
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136928
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H37, 11G20, 14D15
dc.titleLiftable D_4-Covers
dc.typetext

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