A Class of Loops Categorically Isomorphic to Bruck Loops of Odd Order

DOI10.1080/00927872.2013.791304zbMath1298.20077arXiv1206.1356OpenAlexW2963888365MaRDI QIDQ5418001

Mark Greer

Publication date: 23 May 2014

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

Full work available at URL: https://arxiv.org/abs/1206.1356

zbMATH Keywords

Bruck loopsvarieties of loopsfinite loopsSylow subloopspower-associativityHall subloopsloops of odd order\(\Gamma\)-loopsfinite commutative automorphic loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (4)

Lie's correspondence for commutative automorphic formal loops ⋮ On connected quandles of prime power order ⋮ Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order ⋮ Automorphic loops and metabelian groups

Uses Software

• GAP
• Prover9
• Mace4

Cites Work

• Unnamed Item
• Nilpotency in automorphic loops of prime power order.
• On twisted subgroups and Bol loops of odd order.
• On loops of odd order. II
• On loops of odd order
• Constructions of Commutative Automorphic Loops
• The structure of commutative automorphic loops
• Searching for small simple automorphic loops
• Primary Decompositions in Varieties of Commutative Diassociative Loops
• Finite Bol loops
• Near subgroups of finite groups
• COMMUTATIVE AUTOMORPHIC LOOPS OF ORDER p³

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