The parity of the number of quasigroups

DOI10.1016/j.disc.2010.06.027zbMath1231.05037OpenAlexW2051010670MaRDI QIDQ710609

Rebecca J. Stones

Publication date: 19 October 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.06.027

zbMATH Keywords

quasigroupLatin squarepartial orthomorphism

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (7)

A Latin square autotopism secret sharing scheme ⋮ Cycle structure of autotopisms of quasigroups and latin squares ⋮ Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups ⋮ The set of autotopisms of partial Latin squares ⋮ A congruence connecting Latin rectangles and partial orthomorphisms ⋮ Bounds on the number of autotopisms and subsquares of a Latin square ⋮ Symmetries of partial Latin squares

Uses Software

• GAP
• OEIS

Cites Work

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• The number of transversals in a Latin square
• On completing three cyclically generated transversals to a Latin square
• Diagonally cyclic Latin squares.
• Gröbner bases and the number of Latin squares related to autotopisms of order \(\leq 7\)
• On the number of Latin squares
• The number of Latin squares of order 11
• Small latin squares, quasigroups, and loops
• ON THE NUMBER OF LATIN RECTANGLES
• Quasigroup automorphisms and the Norton-Stein complex
• Orthomorphism graphs of groups

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