Search results for "GEOMETRIA"

showing 10 items of 422 documents

A note on the exterior centralizer

2009

The notion of the exterior centralizer \({C_G^{^\wedge}(x)}\) of an element x of a group G is introduced in the present paper in order to improve some known results on the non-abelian tensor product of two groups. We study the structure of G by looking at that of \({C_G^{^\wedge}(x)}\) and we find some bounds for the Schur multiplier M(G) of G.

CombinatoricsSettore MAT/02 - AlgebraTensor productGeneral MathematicsGeometryExterior centralizer exterior center nonabelian tensor product Schur multiplierSettore MAT/03 - GeometriaWedge (geometry)Centralizer and normalizerSchur multiplierMathematics
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On the WGSC Property in Some Classes of Groups

2009

The property of quasi-simple filtration (or qsf) for groups has been introduced in literature more than 10 years ago by S. Brick. This is equivalent, for groups, to the weak geometric simple connectivity (or wgsc). The main interest of these notions is that there is still not known whether all finitely presented groups are wgsc (qsf) or not. The present note deals with the wgsc property for solvable groups and generalized FC-groups. Moreover, a relation between the almost-convexity condition and the Tucker property, which is related to the wgsc property, has been considered for 3-manifold groups.

Combinatoricsalmost-convex groupsProperty (philosophy)Tucker propertySimple (abstract algebra)Solvable groupGeneral MathematicsFiltration (mathematics)FC-groups and nilpotent groupSettore MAT/03 - Geometriaweak geometric simple connectivityMathematicsMediterranean Journal of Mathematics
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Observation of a superfluid component within solid helium

2011

We demonstrate by neutron scattering that a localized superfluid component exists at high pressures within solid helium in aerogel. Its existence is deduced from the observation of two sharp phonon-roton spectra which are clearly distinguishable from modes in bulk superfluid helium. These roton excitations exhibit different roton gap parameters than the roton observed in the bulk fluid at freezing pressure. One of the roton modes disappears after annealing the samples. Comparison with theoretical calculations suggests that the model that reproduces the observed data best is that of superfluid double layers within the solid and at the helium-substrate interface. peerReviewed

Condensed Matter::Quantum Gasessupersolid 4HeCondensed Matter::OtherRestricted geometriesRajatut geometriatsupranestnosyys 4He kiteessäCondensed Matter::Mesoscopic Systems and Quantum Hall Effectsuprakide 4HeSuperfluidity in solid 4He
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The minimal free resolution of fat almost complete intersections in ℙ1 x ℙ1

2017

AbstractA current research theme is to compare symbolic powers of an ideal I with the regular powers of I. In this paper, we focus on the case where I = IX is an ideal deûning an almost complete intersection (ACI) set of points X in ℙ1 × ℙ1. In particular, we describe a minimal free bigraded resolution of a non-arithmetically Cohen-Macaulay (also non-homogeneous) set 𝒵 of fat points whose support is an ACI, generalizing an earlier result of Cooper et al. for homogeneous sets of triple points. We call 𝒵 a fat ACI.We also show that its symbolic and ordinary powers are equal, i.e, .

Current (mathematics)Ideal (set theory)General MathematicsPoints in ℙ1× ℙ1010102 general mathematicsComplete intersectionArithmetically Cohen-Macaulay; Points in ℙ1× ℙ1; Resolution; Symbolic powersSymbolic powers01 natural sciencesArithmetically Cohen-MacaulayCombinatoricsSet (abstract data type)Settore MAT/02 - AlgebraHomogeneous0103 physical sciencesArithmetically Cohen-Macaulay Points in ℙ1xℙ1 Resolution Symbolic powersSettore MAT/03 - Geometria010307 mathematical physics0101 mathematicsResolutionFocus (optics)Resolution (algebra)Mathematics
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Cyclotomic Polynomials and Finite Automorphisms of Groups

2001

We introduce minimal polynomials for finite automorphisms of commutative groups and relate them to the exponent of the fixed points and to the reducibility of the group. Some results can be extended to the noncommutative case.

Cyclotomic polynomialGroup automorphismsSettore MAT/03 - Geometria
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Alberi e Sinfonie: matematica, musica e complessità della natura

2022

[no abstract]

DanteSettore MAT/04 - Matematiche Complementariipergeometriaipersfera
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Enseñanza de las ciencias : revista de investigación y experiencias didácticas

2016

Presentamos los resultados de una investigación enfocada a mejorar el aprendizaje de la geometría y la adquisición de destrezas de razonamiento matemático de estudiantes de 2.º año medio de centros de enseñanza secundaria vulnerables de Chile. Se ha diseñado un experimento de enseñanza, con grupos experimental y control, basado en una unidad de enseñanza, diseñada de acuerdo con los niveles y las fases de Van Hiele, y en un pretest y un postest, para evaluar el cambio en el nivel de razonamiento de los estudiantes derivado de la intervención. Los resultados muestran una diferencia significativa, a favor del grupo experimental, en el desarrollo del nivel de razonamiento de los estudiantes. P…

DeductivoVulnerable schoolsenseñanza secundariaEvaluaciónVan HieleSecondary education in ChileGeometriaGeometryalumnolecciónOtro (necesidades especiales)estudios científicosSimilarityEducationEducació secundària a XileEducación secundaria en ChileSemejanzarazonamientoCentros vulnerablesCentres vulnerablesChilegeometríaSemblançapedagogía experimental
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On the 1-handles of the product V3XBn for a simply connected open 3-manifold V3

2013

Although \pi_1^\inftyV^3 is an obstruction for killing stably the 1-handles of an open simply connected 3-manifold V^3, one can always get rid of the 1-handles of V^3\times B^n, for high enough n, at price of a certain nonmetrizable slackening of the topology.

Dehn exhaustibilitygeometrically simply connectionquasi-simply filteredO(i) movements.Settore MAT/03 - Geometria
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Rivestimenti di varietà algebriche contenuti in fibrati di piani proiettivi

Determinantal varietyprojective bundleCohen-Macaulay schemerivestimentiSettore MAT/03 - Geometriapoints in generic positionCover
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A note on rank 2 diagonals

2020

<p>We solve two questions regarding spaces with a (G<sub>δ</sub>)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos about weakly Lindelöf spaces with a G<sub>δ</sub>-diagonal of rank 2 and the other is a question of Arhangel’skii and Bella asking whether every space with a diagonal of rank 2 and cellularity continuum has cardinality at most continuum.</p>

DiagonalCardinal invariantsMathematics::General TopologyWeakly Lindelöflcsh:AnalysisSpace (mathematics)01 natural sciencesCombinatoricsBELLACardinalitydual propertiesCardinality boundsFOS: MathematicsRank (graph theory)Continuum (set theory)0101 mathematicsDual propertiesMathematics - General TopologyMathematicsweakly LindelofGδ- diagonallcsh:Mathematics010102 general mathematicsGeneral Topology (math.GN)neighbourhood assignmentGδ-diagonallcsh:QA299.6-433lcsh:QA1-939gδ-diagonal010101 applied mathematicscardinality boundsMathematics::LogicNeighbourhood assignmentSettore MAT/03 - GeometriaGeometry and Topologyweakly lindelöf
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