Left braces of size 8p
Group Theory
2022-12-21 v2
Abstract
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.
Cite
@article{arxiv.2205.04201,
title = {Left braces of size 8p},
author = {Teresa Crespo and Daniel Gil-Muñoz and Anna Rio and Montserrat Vela},
journal= {arXiv preprint arXiv:2205.04201},
year = {2022}
}
Comments
To be published in Journal of Algebra