6533b7d3fe1ef96bd12602b1
RESEARCH PRODUCT
A note on the exterior centralizer
Peyman NiroomandFrancesco G. Russosubject
CombinatoricsSettore MAT/02 - AlgebraTensor productGeneral MathematicsGeometryExterior centralizer exterior center nonabelian tensor product Schur multiplierSettore MAT/03 - GeometriaWedge (geometry)Centralizer and normalizerSchur multiplierMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-11-28 |