Bol loops of order 27

2025/04/20 by Grishkov, Alexander, Kinyon, Michael, Vojtěchovský, Petr
#20N05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2504.14646

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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