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arXiv · 2212.03167

Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$

A. Ballester-Bolinches·R. Esteban-Romero·V. Pérez-Calabuig
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Abstract

We show that the number of isomorphism classes of left braces of order~$64$ with additive group isomorphic to $C_2\times C_2\times C_4\times C_4$ is $10\,326\,821$. This completes the classification of left braces of order~$64$, that turn out to fall into $15\,095\,601$ isomorphism classes.

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A. Ballester-Bolinches, R. Esteban-Romero, V. Pérez-Calabuig. 2023-04-09. Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$. https://arxiv.org/abs/2212.03167

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