Nilpotent Steiner loops of class 2

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Author(s):	Grishkov, Alexander ^{[1, 2]} ; Rasskazova, Diana ^[1] ; Rasskazova, Marina ^[3] ; Stuhl, Izabella ^[4] Total Authors: 4
Affiliation:	^[1] Univ Sao Paulo, IMS, Sao Paulo, SP - Brazil ^[2] Omsk State Univ, Omsk - Russia ^[3] Omsk State Tech Univ, Omsk - Russia ^[4] Penn State Univ, Math Dept, State Coll, PA 16802 - USA Total Affiliations: 4
Document type:	Journal article
Source:	COMMUNICATIONS IN ALGEBRA; v. 46, n. 12, p. 5480-5486, DEC 2 2018.
Web of Science Citations:	0
Abstract
We describe Steiner loops of nilpotency class 2 and establish the classification of finite 3-generated nilpotent Steiner loops of nilpotency class 2. (AU)

FAPESP's process:	11/51845-5 - Analytical, finite and quasi-group loops
Grantee:	Izabella Stuhl
Support Opportunities:	Scholarships in Brazil - Post-Doctoral


FAPESP's process:	15/17611-8 - Finite geometries, its automorphisms and related algebraic systems.
Grantee:	Diana Rasskazova
Support Opportunities:	Scholarships in Brazil - Doctorate