A class of simple proper Bol loops

2007/03/30 by Nagy, Gabor P.
#20N04 #22A30 #57S99 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.math/0703919

Abstract

The existence of finite simple non-Moufang Bol loops was considered as one of the main open problems in the theory of loops and quasigroups. In this paper, we present a class of proper simple Bol loops. This class also contains finite and new infinite simple proper Bol loops.

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