Autoparatopisms of Quasigroups and Latin Squares

DOI10.1002/jcd.21515zbMath1362.05027OpenAlexW2338054667MaRDI QIDQ5346577

Mahamendige Jayama Lalani Mendis, Ian M. Wanless

Publication date: 26 May 2017

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21515

zbMATH Keywords

automorphismquasigroupLatin squareautotopismautoparatopism

Mathematics Subject Classification ID

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

Related Items (10)

Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups ⋮ The geometry of diagonal groups ⋮ Computing Autotopism Groups of Partial Latin Rectangles ⋮ Enumerating partial Latin rectangles ⋮ Enumeration of Latin squares with conjugate symmetry ⋮ Colouring games based on autotopisms of Latin hyper-rectangles ⋮ Autoparatopism stabilized colouring games on rook's graphs ⋮ Latin Squares with a Unique Intercalate ⋮ Refining invariants for computing autotopism groups of partial Latin rectangles ⋮ A historical perspective of the theory of isotopisms

Cites Work

• The set of autotopisms of partial Latin squares
• Computing the autotopy group of a Latin square by cycle structure
• Parity types, cycle structures and autotopisms of Latin squares
• Cycle switches in Latin squares
• The spectrum for quasigroups with cyclic automorphisms and additional symmetries.
• Diagonally cyclic Latin squares.
• Enumeration of MOLS of small order
• Latin Squares with a Unique Intercalate
• Cycle structure of autotopisms of quasigroups and latin squares
• The number of Latin squares of order 11
• Small latin squares, quasigroups, and loops
• Atomic Latin squares of order eleven
• The Order of Automorphisms of Quasigroups
• On some problems of a statistical group-theory. III

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