On torsion-free nilpotent loops

We show that a torsion-free nilpotent loop (that is, a loop nilpotent with respect to the dimension filtration) has a torsion-free nilpotent left multiplication group of, at most, the same class. We also prove that a free loop is residually torsion-free nilpotent and that the same holds for any free...

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Hauptverfasser:	Mostovoy, J, Perez-Izquierdo, J. M, Shestakov, I. P
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Group Theory
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