Classification of braces of order $p^3$
Group Theory
2014-07-22 v1 Quantum Algebra
Abstract
A classification up to isomorphism of all left braces of order , where is any prime number, is given. To this end, we first classify all the left braces of order and , and then we construct explicitly the hypothesis required in Corollary D of N. Ben David's Ph.D. thesis to build multiplications of left braces.
Cite
@article{arxiv.1407.5224,
title = {Classification of braces of order $p^3$},
author = {David Bachiller},
journal= {arXiv preprint arXiv:1407.5224},
year = {2014}
}