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Journal of the Nigerian Association of Mathematical Physics

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Normalizer Of Subloops

SO Ajala

Abstract


In [1] Albert proved that the centre Z of a loop (G,.) is isomorphic to the centre ZM of the multiplication group M(G) of G. In this paper, we prove that the normalizer N(H) of subloop H in G is in one-to-one correspondence with the normalizer N(M(H)) of the subgroup M(H) in M(G).

Keywords: Normalizer, Loop, Subgroup, Multiplication group




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