Title page for etd-0717108-172102


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URN etd-0717108-172102
Author Shu-Hui Tsai
Author's Email Address m952040010@student.nsysu.edu.tw
Statistics This thesis had been viewed 5056 times. Download 1604 times.
Department Applied Mathematics
Year 2007
Semester 2
Degree Master
Type of Document
Language English
Title Orthogonality of Latin squares defined by abelian groups
Date of Defense 2008-07-16
Page Count 33
Keyword
  • Latin square
  • transversal
  • orthogonality
  • Abstract Let G = {g1, …,gn} be a finite abelian group, and let LG = [gij ] be the Latin square defined by gij = gi + gj. Denote by k(G) the largest number of mutually orthogonal system containing LG. In 1948, Paige
    showed that if the Sylow 2-subgroup of G is not cyclic, then LG has a transversal. In this paper, we give an constructive proof for this theorem and give some upper bound and lower bound for the number k(G).
    Advisory Committee
  • Xu-ding Zhu - chair
  • Li-Da Tong - co-chair
  • Tsai-Lien Wong - advisor
  • Files
  • etd-0717108-172102.pdf
  • indicate access worldwide
    Date of Submission 2008-07-17

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