ALL AUTOMORPHIC LOOPS OF ORDER p2 FOR SOME PRIME p ARE ASSOCIATIVE

DOI10.1142/S0219498813500138zbMath1275.20071OpenAlexW2116636122MaRDI QIDQ4928319

Piroska Csörgő

Publication date: 11 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813500138

zbMATH Keywords

inner mapping groupsmultiplication groupsA-loopsprime power order loopsconnected transversalsautomorphic loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

The structure of automorphic loops ⋮ Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order

Cites Work

• Nilpotency in automorphic loops of prime power order.
• Loops whose inner mappings are automorphisms
• On multiplication groups of loops
• Conjugacy closed loops and their multiplication groups.
• Every diassociative A-loop is Moufang
• Constructions of Commutative Automorphic Loops
• The structure of commutative automorphic loops