Automorphic loops and metabelian groups

DOI10.14712/1213-7243.2020.043zbMath1474.20151arXiv2007.08419OpenAlexW3135715731MaRDI QIDQ5858501

Lee Raney, Mark Greer

Publication date: 13 April 2021

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08419

zbMATH Keywords

Moufang loopsmetabelian groupsBruck loopsautomorphic loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Uses Software

• GAP
• LOOPS
• Prover9
• Mace4
• LOOPS

Cites Work

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• Bol loops and Bruck loops of order \(pq\)
• Engelsche Elemente Noetherscher Gruppen
• Fixed points of p-groups acting on p-groups
• Über die größten p'-Normalteiler in p-auflösbaren Gruppen
• On loops of odd order. II
• The structure of commutative automorphic loops
• Primary Decompositions in Varieties of Commutative Diassociative Loops
• Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order
• A Class of Loops Categorically Isomorphic to Bruck Loops of Odd Order
• Computing with small quasigroups and loops

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