Orthomorphisms of Groups and Orthogonal Latin Squares. I
- 1 January 1961
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 13, 356-372
- https://doi.org/10.4153/cjm-1961-031-7
Abstract
Euler (6) in 1782 first studied orthogonal latin squares. He showed the existence of a pair of orthogonal latin squares for all odd n and conjectured their non-existence for n = 2(2k + 1). MacNeish (8) in 1921 gave a construction of n — 1 mutually orthogonal latin squares for n = p with p prime and of n(v) mutually orthogonal squares of order v where with p1 p2, … , Pr being distinct primes andKeywords
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