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math.GR2015
Nilpotent Steiner loops of class 2
A. Grishkov, D. Rasskazova, M. Rasskazova +1
We describe Steiner loops of nilpotency class 2 and establish the classification of finite 3-generated nilpotent Steiner loops of nilpotency class 2.
math.GR2015★ 9 cited
Half-isomorphisms of Moufang loops
Michael Kinyon, Izabella Stuhl, Petr Vojtechovsky
We prove that if the squaring map in the factor loop of a Moufang loop over its nucleus is surjective, then every half-isomorphism of onto a Moufang loop is either an isomo…