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arXiv · 1407.5224

Classification of braces of order $p^3$

David Bachiller
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Abstract

A classification up to isomorphism of all left braces of order $p^3$, where $p$ is any prime number, is given. To this end, we first classify all the left braces of order $p$ and $p^2$, 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.

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David Bachiller. 2014-07-19. Classification of braces of order $p^3$. https://arxiv.org/abs/1407.5224

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