Abelian congruences and solvability in Moufang loops

DOI10.1016/j.jalgebra.2023.03.001OpenAlexW4323871447MaRDI QIDQ2698472

Petr Vojtěchovský, Aleš Drápal

Publication date: 24 April 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.03646

zbMATH Keywords

solvabilityMoufang loopabelian congruencecongruence solvabailityextra looppseudoautomorphismsemiautomorphism

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (1)

On abelian-by-cyclic Moufang loops

Uses Software

• GAP
• LOOPS

Cites Work

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• Commutator theory for loops.
• Sylow's theorem for Moufang loops.
• On left conjugacy closed loops with a nucleus of index two.
• Every Moufang loop of odd order has nontrivial nucleus
• Abelian extensions and solvable loops.
• Solvability of groups of odd order
• On loops of odd order. II
• A simplified proof of Moufang’s theorem
• A Class of Simple Moufang Loops
• The classification of finite simple Moufang loops
• Simple Moufang loops
• Moufang Loops and Groups with Triality are Essentially the Same Thing
• Lagrange's theorem for Moufang loops
• An "Extra" Law for Characterizing Moufang Loops
• Contributions to the Theory of Loops
• Quasigroups. II

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