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 10 nonassociative Bol loops of order 27 are given.
Authors
- A. Grishkov (ORCID: https://orcid.org/0000-0002-7406-1944)
- Michael Kinyon (ORCID: https://orcid.org/0000-0002-5227-8632)
- Petr Vojtěchovský (ORCID: https://orcid.org/0000-0003-3085-6611)
Institutions
- University of Denver (US)
- Universidade de São Paulo (BR)
- Sobolev Institute of Mathematics (RU)
Publication Details
- Journal
- International Journal of Algebra and Computation
- Published
- 2025-10-31
- DOI
- https://doi.org/10.1142/s0218196726500049
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00