Abstract
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.
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Niroomand, P., Russo, F. A note on the exterior centralizer. Arch. Math. 93, 505–512 (2009). https://doi.org/10.1007/s00013-009-0077-5
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DOI: https://doi.org/10.1007/s00013-009-0077-5