论文标题

用添加剂组$ C_2 \ Times C_2 \ Times C_4 \ Times C_4 $

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

论文作者

Ballester-Bolinches, A., Esteban-Romero, R., Pérez-Calabuig, V.

论文摘要

我们证明,订单的左括号的同构类别〜$ 64 $,以及添加剂组的同构为$ C_2 \ times C_2 \ times C_4 \ Times C_4 \ Times C_4 $ IS $ 10 \,326 \,821 $。这完成了订单左括号的分类〜$ 64 $,结果跌至$ 15 \,095 \,601 $同构类别。

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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