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Nilpotent Steiner loops of class 2
Authors:Alexander Grishkov  Diana Rasskazova  Marina Rasskazova
Affiliation:1. IMS, University of S?o Paulo, S?o Paulo, SP, Brazil;2. Omsk State University n.a. F.M. Dostoevskii, Omsk, Russia;3. Omsk State Technical University, Omsk, Russia
Abstract:We describe Steiner loops of nilpotency class 2 and establish the classification of finite 3-generated nilpotent Steiner loops of nilpotency class 2.
Keywords:nilpotency class 2  Steiner loop  Steiner triple system
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