Bol loops of order 27

Fuente: arXiv
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Autores principales: Grishkov, Alexander, Kinyon, Michael, Vojtěchovský, Petr
Formato: Preprint
Publicado: 2025
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author Grishkov, Alexander
Kinyon, Michael
Vojtěchovský, Petr
author_facet Grishkov, Alexander
Kinyon, Michael
Vojtěchovský, Petr
contents We classify Bol loops of order $27$, using a combination of theoretical results and computer search. There are $15$ Bol loops of order $27$, including five groups. New constructions for the ten nonassociative Bol loops of order $27$ are given.
format Preprint
id arxiv_https___arxiv_org_abs_2504_14646
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bol loops of order 27
Grishkov, Alexander
Kinyon, Michael
Vojtěchovský, Petr
Group Theory
20N05
We classify Bol loops of order $27$, using a combination of theoretical results and computer search. There are $15$ Bol loops of order $27$, including five groups. New constructions for the ten nonassociative Bol loops of order $27$ are given.
title Bol loops of order 27
topic Group Theory
20N05
url https://arxiv.org/abs/2504.14646