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

Niroomand, P., Russo, F. (2009). A note on the exterior centralizer. ARCHIV DER MATHEMATIK, 93, 505-512 [10.1007/s00013-009-0077-5].

A note on the exterior centralizer

RUSSO, Francesco
2009

Abstract

The notion of exterior centralizer $C^\wedge_G(x)$ of an element $x$ of a group $G$ is introduced in the present paper in order to improve some known results on the nonabelian tensor product of two groups. We study the structure of $G$ by looking at that of $C^\wedge_G(x)$ and we find some bounds for the Schur multiplier $M(G)$ of $G$.
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
Niroomand, P., Russo, F. (2009). A note on the exterior centralizer. ARCHIV DER MATHEMATIK, 93, 505-512 [10.1007/s00013-009-0077-5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/55892
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