Publication Date

2007

Document Type

Thesis

Committee Members

Anthony Evans (Advisor)

Degree Name

Master of Science (MS)

Abstract

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.

Page Count

35

Department or Program

Department of Mathematics and Statistics

Year Degree Awarded

2007

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