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https://hdl.handle.net/2445/217518| Title: | Left braces of size 8<em>p</em> |
| Author: | Crespo Vicente, Teresa Gil Muñoz, Daniel Rio, Anna Vela del Olmo, Ma. Montserrat |
| Keywords: | Grups de permutacions Grups quàntics Àlgebres de Hopf Permutation groups Quantum groups Hopf algebras |
| Issue Date: | 1-Mar-2023 |
| Publisher: | Elsevier |
| Abstract: | We describe all left braces of size $8 p$ for an odd prime $p \neq 3,7$ and validate the number given by Bardakov, Neschadim and Yadav in [2]. We give a characterization for isomorphism classes of a semidirect product of left braces and then the description is done by first describing left braces of size 8, as conjuggacy classes of regular subgroups of the corresponding holomorph, and then checking how many non isomorphic left braces of size $8 p$ are obtained from each one of them. |
| Note: | Reproducció del document publicat a: https://doi.org/10.1016/j.jalgebra.2022.11.011 |
| It is part of: | Journal of Algebra, 2023, vol. 617, p. 317-339 |
| URI: | https://hdl.handle.net/2445/217518 |
| Related resource: | https://doi.org/10.1016/j.jalgebra.2022.11.011 |
| ISSN: | 0021-8693 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 870171.pdf | 385.45 kB | Adobe PDF | View/Open |
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