Transversals, near transversals, and diagonals in iterated groups and quasigroups

DOI10.37236/9699zbMath1473.05038arXiv2006.03786OpenAlexW3199682193MaRDI QIDQ820835

Anna A. Taranenko

Publication date: 28 September 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03786

zbMATH Keywords

Cayley tablebinary quasigroup

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Asymptotic enumeration (05A16) Transversal (matching) theory (05D15) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Transversals in completely reducible multiary quasigroups and in multiary quasigroups of order 4
• Additive triples of bijections, or the toroidal semiqueens problem
• The Hall-Paige conjecture, and synchronization for affine and diagonal groups
• The admissibility of sporadic simple groups.
• Spectral properties of doubly-stochastic matrices
• Permanents of multidimensional matrices: Properties and applications
• LATIN SQUARES AND THE HALL–PAIGE CONJECTURE
• Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares
• A Combinatorial Problem on Abelian Groups
• Complete mappings of finite groups

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