<< 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.
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