Incidence properties of cosets in loops

DOI10.1002/jcd.20308zbMath1255.20058arXiv1108.3656OpenAlexW1827087827MaRDI QIDQ2885147

Kyle Pula, Petr Vojtěchovský, Michael K. Kinyon

Publication date: 21 May 2012

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

Full work available at URL: https://arxiv.org/abs/1108.3656

zbMATH Keywords

Moufang loopscombinatorial designsLagrange theoremBol loopscoset partitionscosets in loops

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (1)

Sylow Theory for Quasigroups II: Sectional Action

Uses Software

• Mace4
• DESIGN

Cites Work

• Loops whose inner mappings are automorphisms
• On twisted subgroups and Bol loops of odd order.
• On loops of odd order. II
• A simplified proof of Moufang’s theorem
• The structure of commutative automorphic loops
• Searching for small simple automorphic loops
• Embedding Incomplete Latin Squares
• The classification of finite simple Moufang loops
• A Class of Loops Which are Isomorphic to all Loop Isotopes
• On Representatives of Subsets
• Moufang Loops of Small Order. I
• Lagrange's theorem for Moufang loops
• A Combinatorial Theorem with an Application to Latin Rectangles
• An existence theorem for latin squares
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