Left braces of size 8p

Autor: Crespo, Teresa, Gil-Muñoz, Daniel, Rio, Anna, Vela, Montserrat
Rok vydání: 2022
Předmět:
Zdroj: J. Algebra 617 (2023), 317-339
Druh dokumentu: Working Paper
Popis: We describe all left braces of size 8p for p an odd prime different from 3 or 7 and validate the number given by Bardakov, Neschadim and Yadav. 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 conjugacy classes of regular subgroups of the corresponding holomorph, and then checking how many non isomorphic left braces of size 8p are obtained from each one of them.
Comment: To be published in Journal of Algebra
Databáze: arXiv