Let G = {g1, ¡K,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).
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0717108-172102 |
| Date | 17 July 2008 |
| Creators | Tsai, Shu-Hui |
| Contributors | Xu-ding Zhu, Tsai-Lien Wong, Li-Da Tong |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0717108-172102 |
| Rights | unrestricted, Copyright information available at source archive |
Page generated in 0.002 seconds