vix.ing · top · new · best · stats · spec

Free Bol loops of exponent two

2022/03/02 by Alexandre Grishkov, Grishkov, Alexandre, Marina Rasskazova +3
Mathematics · #20N05 #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2203.00808

openalex publication_date 2022/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

A Bol loop is a loop that satisfies the identity x((yz)y)=((xy)z)y. In this paper, we give a construction of the free Bol loops of exponent two. We define a canonical form of all their elements and describe their multiplication law based on this form.

Related