Search results for " Schur multiplier"

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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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