Bol loops of order 27

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-20
Primary Topic
Mathematics and Applications
Type
article
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article

Bol loops of order 27

ArXiv.org
Mathematics and Applications
article

Bol loops of order 27

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Abstract

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Mathematics and Applications
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Bol loops of order 27 · ArXiv.org (2025) | TGRS Research Map | TGRS