On certain isotopic maps of central loops

• Adeniran, Jhon Olusola ^[1] ; Oyebo, Yacub Tunde ^[3] ; Mohamed, Daabo ^[2]
  1. [1] University of Agriculture

     University of Agriculture

     Pakistán

     
  2. [2] University for Development Studies

     University for Development Studies

     Ghana

     
  3. [3] Lagos Statet University.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 3, 2011, págs. 303-318
• Idioma: inglés
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• Resumen

  • It is shown that the Holomorph of a C-loop is a C-loop if each element of the automorphism group of the loops is left nuclear. Condition under which an element of the Bryant-Schneider group of a C-loop will form an automorphism is established. It is proved that elements of the Bryant-Schneider group of a C-loop can be expressed a product ofpseudo-automorphisms and right translations ofelements of the nucleus of the loop. The Bryant-Schneider group of a C-loop is also shown to be a kind of generalized holomorph of the loop.