Title of article :
CONSTRUCTION OF NEW GYROGROUPS and THE STRUCTURE OF THEIR SUBGYROGROUPS
Author/Authors :
Mahdavi, Soheila Department of Pure Mathematics - Faculty of Mathematical Sciences University of Kashan , Ashrafi, Ali Reza Department of Pure Mathematics - Faculty of Mathematical Sciences University of Kashan , Salahshour, Mohammad Ali Department of Mathematics - Savadkooh Branch - Islamic Azad University Savadkooh, Iran
Abstract :
Suppose that G is a groupoid with binary operation i. The pair G;i is said
to be a gyrogroup if the operation i has a left identity, each element a " G has a left
inverse and the left gyroassociative law and the left loop property are satised in G. In
this paper, a method for constructing new gyrogroups from old ones is presented and the
structure of subgyrogroups of these gyrogroups are also given. As a consequence of this work,
ve 2gyrogroups of order 2n, n ' 3, are presented. Some open questions are also proposed.
Keywords :
Gyrogroup , subgyrogroup , groupoid
Journal title :
Journal of Algebraic Structures and Their Applications
