Enumeration of left braces with additive group $C_4\times C_4\times C_4$
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- by A. Ballester-Bolinches, R. Esteban-Romero and V. Pérez-Calabuig
- Math. Comp. 93 (2024), 911-919
- DOI: https://doi.org/10.1090/mcom/3871
- Published electronically: June 30, 2023
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Abstract:
We show that the number of isomorphism classes of left braces of order $64$ with additive group isomorphic to $C_4\times C_4\times C_4$ is $1\,515\,429$.References
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Bibliographic Information
- A. Ballester-Bolinches
- Affiliation: Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain
- MR Author ID: 263725
- ORCID: 0000-0002-2051-9075
- Email: Adolfo.Ballester@uv.es
- R. Esteban-Romero
- Affiliation: Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain
- MR Author ID: 689040
- ORCID: 0000-0002-2321-8139
- Email: Ramon.Esteban@uv.es
- V. Pérez-Calabuig
- Affiliation: Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain
- ORCID: 0000-0003-4101-8656
- Email: Vicent.Perez-Calabuig@uv.es
- Received by editor(s): October 4, 2022
- Received by editor(s) in revised form: April 9, 2023, and April 23, 2023
- Published electronically: June 30, 2023
- Additional Notes: These results are part of the R+D+i project supported by the Grant PGC2018-095140-B-I00, funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe.”
- © Copyright 2023 American Mathematical Society
- Journal: Math. Comp. 93 (2024), 911-919
- MSC (2020): Primary 16T25; Secondary 81R50, 20-08
- DOI: https://doi.org/10.1090/mcom/3871
- MathSciNet review: 4678589