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<< JRScience Home     Volume 15 No.1   June 2004     << Back to Volume Home

 

AUTOMORPHISM GROUP GENERATORS FOR FISHER AND YATES 6X6 REDUCED LATIN SQUARES AND THEIR EQUIVALENCE WITH SCHONHARDT'S SPECIES

 Asghar Ali

Department of Statistics, Bahauddin Zakariya University, Multan.

Abstract: Fisher and Yates established twenty-two transformation sets for 6x6 Latin squares in 1934, which have been shown to belong to 12 adjugate classes. Schonhardt also established 12 species for this size of Latin squares in 1930. In this paper automorphism group generators have been established for Fisher and Yates transformation sets. Equivalence between the adjugate classes of Fisher and Yates and 12 species of Schonhardt has also been shown.

Keywords: Adjugate squares, automorphism group, Graeco-Latin square, Latin squares, transformation set.