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ERIC Number: EJ938159
Record Type: Journal
Publication Date: 2006-Jan
Pages: 14
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0746-8342
Graeco-Latin Squares and a Mistaken Conjecture of Euler
Klyve, Dominic; Stemkoski, Leo
College Mathematics Journal, v37 n1 p2-15 Jan 2006
A Graeco-Latin square of order "n" is an "n[superscript x]n" array whose entries are the "n"[superscript 2] ordered pairs of numbers from 1 to "n", and in each row and each column the first elements of the ordered pairs are all different, as are the second elements. This article traces the history of the results that came out of work on a false conjecture of Euler, namely, that there are no Graeco-Latin squares of an order congruent to 2 modulo 4. The story covers more than two centuries, involves more than twenty researchers from five countries, and the proofs used.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A