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Mutually orthogonal latin squares based on ℤ3× ℤ9

Carter, James Michael
http://rave.ohiolink.edu/etdc/view?acc_num=wright1186687248

Abstract Details

2007, Master of Science (MS), Wright State University, Mathematics.
This paper will investigate the number of mutually orthogonal latin squares, MOLS, that can be constructed using elements from the group G = ℤ3× 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 ℤ3× ℤ3, so that the action of f is to create the quotient group K = G/〈(0, 3)〉. Based on data from the group ℤ2× 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.
Anthony Evans (Advisor)
35 p.
Mathematics
orthomorphisms; latin squares

Recommended Citations

Citations

  • Carter, J. M. (2007). Mutually orthogonal latin squares based on ℤ3× ℤ9 [Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1186687248

    APA Style (7th edition)

  • Carter, James. Mutually orthogonal latin squares based on ℤ3× ℤ9. 2007. Wright State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1186687248.

    MLA Style (8th edition)

  • Carter, James. "Mutually orthogonal latin squares based on ℤ3× ℤ9." Master's thesis, Wright State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=wright1186687248

    Chicago Manual of Style (17th edition)

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© 2007, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.