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arXiv · 2504.14646

Bol loops of order 27

Alexander Grishkov·Michael Kinyon·Petr Vojtěchovský
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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.

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Alexander Grishkov, Michael Kinyon, Petr Vojtěchovský. 2025-04-20. Bol loops of order 27. https://arxiv.org/abs/2504.14646

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