A class of simple proper Bol loops

• DOI: 10.1007/s00229-008-0188-5
• Publication Date: 2008-05-08T13:58:46Z
• Authors: Gábor P. Nagy
• Keywords: 22A30; Rings and Algebras (math.RA); FOS: Mathematics; 20N04; 22A30; 57S99; Mathematics - Rings and Algebras; Group Theory (math.GR); 57S99; 0101 mathematics; Mathematics - Group Theory; 01 natural sciences; 20N04

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.