Peyman Niroomand , Francesco Russo
Arch. Math(Basel) - 96, 6, 505-512 - June, 2009 - .
Publication year: 2009


The notion of the exterior centralizer CG(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 CG(x)and we find some bounds for the Schur multiplier M(G) of G.