Uniquely 2-divisible Bol loops
Group Theory
2011-08-19 v4
Abstract
Although any finite Bol loop of odd prime exponent is solvable, we show there exist such Bol loops with trivial center. We also construct finitely generated, infinite, simple Bruck loops of odd prime exponent for sufficiently large primes. This shows that the Burnside problem for Bruck loops has a negative answer.
Cite
@article{arxiv.0910.2429,
title = {Uniquely 2-divisible Bol loops},
author = {Tuval Foguel and Michael Kinyon},
journal= {arXiv preprint arXiv:0910.2429},
year = {2011}
}
Comments
9 pages; v.2: new results, reformatted for journal submission; v.3; labels on nuclei switched around. V4: same paper, but the referee wanted a different title