Middle Bruck loops and the total multiplication group

DOI10.1007/s00025-022-01716-2zbMath1498.20146OpenAlexW4285391506WikidataQ114231936 ScholiaQ114231936MaRDI QIDQ2159706

Aleš Drápal, Parascovia Syrbu

Publication date: 2 August 2022

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

Full work available at URL: https://doi.org/10.1007/s00025-022-01716-2

zbMATH Keywords

Bruck loopmiddle Bol loopparatopytotal multiplication group

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

Isostrophy Bryant-Schneider Group-Invariant of Bol Loops

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commutator theory for loops.
• On Bol loops of exponent 2.
• The relativistic noncommutative nonassociative group of velocities and the Thomas rotation
• Self-invariant \(1\)-factorizations of complete graphs and finite Bol loops of exponent \(2\).
• On extraspecial left conjugacy closed loops.
• Theory of K-loops
• On left conjugacy closed loops with a nucleus of index two.
• On the extension of involutorial Bol loops
• Left conjugacy closed loops of nilpotency class two.
• A class of finite simple Bol loops of exponent 2
• Relations Between Loop Identities
• Finite Bruck loops
• Finite Bol loops II
• Finite Bol loops
• Pseudoautomorphisms of Bruck loops and their generalizations
• Gyrogroups, the Grouplike Loops in the Service of Hyperbolic Geometry and Einstein's Special Theory of Relativity
• When is the commutant of a Bol loop a subloop?
• Contributions to the Theory of Loops
• Quasigroups. I
• Quasigroups. II
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces