On certain isotopic maps of central loops

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...

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Autores principales: Olusola Adeniran,John, Tunde Oyebo,Yacub, Mohammed,Daabo
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300003
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Sumario: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.