On the smallest simple, unipotent Bol loop.

DOI10.1016/j.jcta.2009.10.015zbMath1235.20060OpenAlexW2023641234MaRDI QIDQ986116

Jonathan D. H. Smith, Kenneth W. Johnson

Publication date: 11 August 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2009.10.015

zbMATH Keywords

permutation representationsBruck loopsnonassociative geometryfinite simple unipotent Bol loopsnon-Moufang Bol loopsprojective lines

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (1)

Sylow Theory for Quasigroups

Cites Work

• On Bol loops of exponent 2.
• Self-invariant \(1\)-factorizations of complete graphs and finite Bol loops of exponent \(2\).
• Almost all quasigroups have rank 2
• A class of simple proper Bol loops.
• Matched Pairs, Permutation Representations, and the Bol Property
• A class of finite simple Bol loops of exponent 2
• Finite Bruck loops
• The classification of finite simple Moufang loops
• Simple Moufang loops
• Primary cyclotomic units and a proof of Catalans conjecture
• Endliche Gruppen I
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