Simple Bol loops

Details Simple Bol loops Simple Bol loops

2004-03-19

arxiv.org/abs/math/0403319v2

Commun. Algebra 35 (2007) 133-144

Mathematics

Group Theory

AMS-TeX, 11 pages

Scientific paper

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 $S$ is a
simple group, then $S$ is a Moufang loop.

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