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On finite loops with nilpotent inner mapping groups
Authors:Markku Niemenmaa  Miikka Rytty
Institution:1. Department of Mathematical Sciences, University of Oulu, Pentti Kaiteran Katu 1, PO Box 3000, 90014, University of Oulu, Finland
Abstract:We shall show how the nilpotency class of a finite loop Q is determined by the properties of a nilpotent inner mapping group. We also show that a classical result by Baer on the structure of abelian finite capable groups holds for Moufang loops of odd order.
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