English

A class of simple proper Bol loops

Group Theory 2007-05-23 v1 Rings and Algebras

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.

Cite

@article{arxiv.math/0703919,
  title  = {A class of simple proper Bol loops},
  author = {Gabor P. Nagy},
  journal= {arXiv preprint arXiv:math/0703919},
  year   = {2007}
}