Resumo

OLUSOLA ADENIRAN, John; TUNDE OYEBO, Yacub  e  MOHAMMED, Daabo. On certain isotopic maps of central loops. Proyecciones (Antofagasta) [online]. 2011, vol.30, n.3, pp. 303-318. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172011000300003.

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.

Palavras-chave : Central loop; isotopism; autotopism; Bryant-Schneider group.