Cycle structures of autotopisms of the Latin squares of order up to 11

zbMath1265.05077arXiv0709.2973MaRDI QIDQ4897482

Raúl M. Falcón

Publication date: 19 December 2012

Full work available at URL: https://arxiv.org/abs/0709.2973

zbMATH Keywords

Latin squarecycle structureautotopism group

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (13)

On computing the number of Latin rectangles ⋮ Classifying partial Latin rectangles ⋮ Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups ⋮ Computing the autotopy group of a Latin square by cycle structure ⋮ Computing Autotopism Groups of Partial Latin Rectangles ⋮ Enumerating partial Latin rectangles ⋮ Lambda-rings of automorphisms ⋮ Autotopism stabilized colouring games on rook's graphs ⋮ Colouring games based on autotopisms of Latin hyper-rectangles ⋮ Symmetries of partial Latin squares ⋮ Autoparatopism stabilized colouring games on rook's graphs ⋮ Refining invariants for computing autotopism groups of partial Latin rectangles ⋮ A historical perspective of the theory of isotopisms

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