Simple Bol loops
Group Theory
2007-05-23 v2
Abstract
In this paper we investigate the Bol loops and connected with them groups. We prove an analog of the Doro's theorem for Moufang loops and find a criterion for simplicity of Bol loops. One of the main results obtained is the following: if the right multiplication group of a connected finite Bol loop is a simple group, then is a Moufang loop.
Cite
@article{arxiv.math/0403319,
title = {Simple Bol loops},
author = {E. K. Loginov},
journal= {arXiv preprint arXiv:math/0403319},
year = {2007}
}
Comments
AMS-TeX, 11 pages