Every Moufang loop of odd order has nontrivial nucleus

DOI10.1016/j.jalgebra.2022.03.029zbMath1491.20151OpenAlexW4226407739MaRDI QIDQ2134017

Piroska Csörgő

Publication date: 5 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.03.029

zbMATH Keywords

centernucleuscommutantMoufang loopcentral nilpotencemultiplication groupinner mapping group

Mathematics Subject Classification ID

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

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A short proof for the central nilpotency of Moufang loops of prime power order, Abelian congruences and solvability in Moufang loops

Cites Work

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