The centre of a Steiner loop and the maxi-Pasch problem

DOI10.14712/1213-7243.2020.035OpenAlexW3134494228MaRDI QIDQ5858502

Andrew R. Kozlik

Publication date: 13 April 2021

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2020.035

zbMATH Keywords

nucleusSteiner triple systemquadrilateralcentreSteiner loopPasch configuration

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Triple systems (05B07)

Uses Software

• Mace4

Cites Work

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• Some results on quadrilaterals in Steiner triple systems
• Specialized block-colourings of Steiner triple systems and the upper chromatic index
• The central spectrum of the order of a Steiner loop
• On quasigroups rich in associative triples
• The configuration polytope of ℓ-line configurations in Steiner triple systems
• Construction Techniques for Anti-Pasch Steiner Triple Systems
• A small basis for four‐line configurations in steiner triple systems. Dedicated to the memory of gemma holly griggs
• The Steiner triple systems of order 19
• When Is a Totally Symmetric Loop a Group?

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