Search results for "Nonabelian tensor product"

showing 3 items of 3 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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The nonabelian tensor product of two soluble minimax groups

2010

Settore MAT/02 - AlgebraChernikov groups soluble minimax groups nonabelian tensor productsSettore MAT/03 - Geometria
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Some algebraic and topological properties of the nonabelian tensor product

2013

Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.

Tensor contractionNonabelian tensor productTensor product of algebrasGeneral MathematicsTensor product of Hilbert spaceshomologyTopologyAlgebraalgebraic topologyTensor productSymmetric tensorRicci decompositionwsg propertyTensor product of modulesfree productSettore MAT/03 - GeometriaTensor densityMathematics
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