论文标题

尺寸8p的左牙

Left braces of size 8p

论文作者

Crespo, Teresa, Gil-Muñoz, Daniel, Rio, Anna, Vela, Montserrat

论文摘要

我们描述了p的所有尺寸为8p的左括号,与3或7不同,并验证了Bardakov,Neschadim和Yadav给出的数字。我们给出了左牙的半领产品的同构类别的表征,然后通过首先描述尺寸8的左括号来完成描述,作为相应Holomorph的常规亚组的共轭类别,然后检查多少个尺寸8p的非同态左括号,从它们的每个人那里获得了多少。

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.

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