Every Moufang loop of odd order with nontrivial commutant has nontrivial center.

DOI10.1007/S00013-013-0526-ZzbMath1276.20071OpenAlexW2159047508MaRDI QIDQ354680

Piroska Csörgő

Publication date: 19 July 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0526-z

zbMATH Keywords

centercommutative Moufang loopsnucleicentral nilpotencecommutantly nilpotencecommutantsfinite Moufang loopsinner mapping groupsMoufang loops of odd ordermultiplication groups

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Structure theory of algebraic structures (08A05)

Related Items (4)

Every Moufang loop of odd order has nontrivial nucleus ⋮ On Moufang loops that are abelian groups over the nucleus ⋮ Product rules and classification of nonassociative Moufang loops of order 81 ⋮ On the non-commuting graph in finite Moufang loops

Cites Work

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• On multiplication groups of loops
• On loops of odd order. II
• On Centrally and Nuclearly Nilpotent Moufang Loops
• A Moufang loop's commutant
• BUCHSTEINER LOOPS
• Simple Moufang loops
• Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth)
• Contributions to the Theory of Loops
• Quasigroups. I

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