## Graeco-Latin Squares and a Mistaken Conjecture of Euler Author ( s ) :

- Dominic Klyve, Lee Stemkoski Dominic Klyve, dominic. klyve, Lee Stemkoski, lee. stemkoski
- 2008

H. F. MacNeish [l] demonstrated constructively the existence of a set of t mutually orthogonal latin squares of each order re, where / is one less than the smallest factor of the prime-power decomposition of re. The construction was generalized somewhat and put on an algebraic foundation by H. B. Mann [2; 3, p. 105]. MacNeish [l] conjectured that t is the… (More)

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