On Centrally and Nuclearly Nilpotent Moufang Loops

DOI10.1080/00927872.2012.672605zbMath1280.20068OpenAlexW2039190603MaRDI QIDQ2842700

Piroska Csörgő

Publication date: 16 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.672605

zbMATH Keywords

centerMoufang loopsnucleiinner mapping groupsmultiplication groupscentral nilpotencynilpotent loopsnuclear nilpotency

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (5)

Every Moufang loop of odd order has nontrivial nucleus ⋮ Characterization of Moufang loops whose commutant is a normal subloop ⋮ Every Moufang loop of odd order with nontrivial commutant has nontrivial center. ⋮ On Moufang loops that are abelian groups over the nucleus ⋮ On Doro’s conjecture for finite Moufang loops

Cites Work

• On nilpotent Moufang loops with central associators.
• On multiplication groups of loops
• BUCHSTEINER LOOPS
• On loops rich in automorphisms that are abelian modulo the nucleus

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