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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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