Kragujevac J. Math. 24 (2002) 55-60.

THE INNER MAPPINGS OF EXTRA LOOPS

V. O. Chiboka

Michael Okpara University of Agriculture, Umudike;
P. M. B. 7267, Umuahia - Abia State, Nigeria

(Received June 20, 2001)

Abstract. The present paper is concerned with an investigation of the translations of extra loops. Some of the elements of the multiplication group of an extra loop are proved to be elements of the Bryant-Schneider group of an extra loop. It is established here that every extra loop is embeddable into its Bryant-Schneider group.