Holomorphy of Osborn loops

Abednego Orobosa Isere, John Olushola Adeniran, Temitope Gbolahan Jaiyeola

Let $(L,\cdot )$ be any loop and let $A(L)$ be a group of automorphisms of $(L,\cdot )$ such that $\alpha$ and $\varphi$ are elements of $A(L)$. It is shown that, for all $x,y,z\in L$, the $A(L…