Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
Mini Thesis
Construction of Right Cheban Loops of Small Order
Author(s): AI Chinaka*, AO Abdulkareem and JO Adenıran
In this study, we give constructions of right cheban loops of order 4t, using a multiplication defined on cartesian product of (C2t X C2) where C2t is a cyclic group of order 2t, t is a positive integer: 3,4 and 6 and C2 is a cyclic group of order 2, each gives a right cheban loop of orders 12, 16 and 24. It was found that smallest non-associative right cheban loop is of order 12 and finite examples of right cheban loops of orders 12,16 and 24 are generated as shown in the cayley tables... Read More»
DOI:
DOI: 10.37421/1736-4337.2022.16.337
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