Moufang loops of odd order \(pq^3\)

DOI10.1006/jabr.2000.8422zbMath0973.20062OpenAlexW2461632484MaRDI QIDQ1840607

Andrew Rajah

Publication date: 30 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8422

zbMATH Keywords

product rulesnonassociative Moufang loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (12)

Moufang loops that are almost groups ⋮ Public key cryptography based on Moufang loops ⋮ Moufang loops of odd order \(p^4q^3\) ⋮ On abelian-by-cyclic Moufang loops ⋮ Moufang loops of odd order \(p^4q_1^3\cdots q_n^3\) ⋮ Product rules and classification of nonassociative Moufang loops of order 81 ⋮ On the non-commuting graph in finite Moufang loops ⋮ The Moufang loops of order 64 and 81. ⋮ CLASSIFICATION OF MINIMAL NONASSOCIATIVE MOUFANG LOOPS OF ORDER pq³ ⋮ CYCLIC EXTENSIONS OF MOUFANG LOOPS INDUCED BY SEMI-AUTOMORPHISMS ⋮ MOUFANG LOOPS OF ODD ORDER p³q³ ⋮ Abelian-by-Cyclic Moufang Loops

Cites Work

• Unnamed Item
• On Moufang loops of order the product of three odd primes
• Corrigendum to: ``On Moufang loops of order the product of three odd primes
• Moufang loops of odd order \(p^ mq_ 1\ldots q_ n\)
• Moufang loops of odd order \(p^ \alpha q_ 1^ 2\cdots q_ n^ 2r_ 1\cdots r_ m\)
• On Moufang loops of odd order \(pq^ 2\)
• Moufang loops of odd order \(p_ 1^ 2p_ 2^ 2\cdots p_ m^ 2\)
• Moufang loops of odd order \(p^ 4q_ 1\dots q_ n\)
• Nilpotency conditions for finite loops
• On loops of odd order. II
• Moufang Loops of Small Order. I
• The Lattice Point Covering Theorem for Rectangles
• Contributions to the Theory of Loops

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