On nilpotent Moufang loops with central associators.

DOI10.1016/j.jalgebra.2006.01.031zbMath1117.20050OpenAlexW2022749384MaRDI QIDQ865471

Gábor P. Nagy, Maurizio Valsecchi

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.01.031

zbMATH Keywords

Moufang loopsmultiplication groupsloops of maximal classnilpotent loopssemidirect products of loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (10)

On Moufang loops that are abelian groups over the nucleus ⋮ Moufang loops of odd order \(p^4q^3\) ⋮ Commutator theory for loops. ⋮ On abelian-by-cyclic Moufang loops ⋮ 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 ⋮ On loops rich in automorphisms that are abelian modulo the nucleus ⋮ Unnamed Item ⋮ On Centrally and Nuclearly Nilpotent Moufang Loops

Cites Work

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• Nilpotency conditions for finite loops
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• On loops of odd order
• The Devil and the Angel of Loops
• Moufang loops of class 2 and cubic forms
• Endliche Gruppen I

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