Bol loops of order 27
Group Theory
2025-09-26 v2
Abstract
We classify Bol loops of order , using a combination of theoretical results and computer search. There are Bol loops of order , including five groups. New constructions for the ten nonassociative Bol loops of order are given.
Cite
@article{arxiv.2504.14646,
title = {Bol loops of order 27},
author = {Alexander Grishkov and Michael Kinyon and Petr Vojtěchovský},
journal= {arXiv preprint arXiv:2504.14646},
year = {2025}
}
Comments
12 pages, amsart; v2. changes in response to (excellent) referee report