Anthony Evans (Advisor)
Master of Science (MS)
This paper will investigate the number of mutually orthogonal latin squares, MOLS, that can be constructed using elements from the group G = Z3x Z9. In calculating this number, it is necessary to consider the group under the action of the homomorphism f : G → K defined by f ((g1, g2))=(g1mod 3, g2mod 3) so that K ≅ Im(G) is isomorphic to Z3x Z3, so that the action of f is to create the quotient group K = G/<(0, 3)>. Based on data from the group Z2x Z4, the elements of the image should be permuted and constants added before considering G'=f-1(K). The use of orthomorphisms will allow for the construction of orthogonal latin squares.
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
Copyright 2007, all rights reserved. This open access ETD is published by Wright State University and OhioLINK.