Simple Bol loops

Research paper by E. K. Loginov

Indexed on: 09 Feb '07Published on: 09 Feb '07Published in: Mathematics - Group Theory


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.