An asymptotic for the Hall-Paige conjecture

DOI10.1016/j.aim.2022.108423zbMath1494.05018arXiv2003.01798OpenAlexW3009191299WikidataQ113880975 ScholiaQ113880975MaRDI QIDQ2671901

Rudi Mrazović, Freddie Manners, Sean Eberhard

Publication date: 3 June 2022

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

Full work available at URL: https://arxiv.org/abs/2003.01798

zbMATH Keywords

Latin squarestransversalsHall-Paige conjecture

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15) Asymptotic enumeration (05A16)

Related Items (4)

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Cites Work

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• Complete mappings in some linear and projective groups
• Orthogonal Latin squares based on groups
• The number of transversals in a Latin square
• An inequality of Hadamard type for permanents
• Reduction of the Hall-Paige conjecture to sporadic simple groups.
• The umbral calculus
• Additive triples of bijections, or the toroidal semiqueens problem
• The admissibility of sporadic simple groups.
• Simple groups of order less than one million
• SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
• Corrigenda: Low-dimensional Representations of Quasi-simple Groups
• Minimal characters of the finite classical groups
• Norm attaining polynomials
• Maximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables
• Polynomials and multilinear mappings in topological vector-spaces
• The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups
• Über homogene Polynome in ($L^{2}$)
• Complete mappings of finite groups

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