Department of Mathematics and Computer, University of Africa Toru Orua, Bayelsa State, Nigeria
Mini Thesis
Construction of Right Cheban Loops of Small Order
Author(s): AI Chinaka*, AO Abdulkareem and JO Aden?ran
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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