论文标题
大小$ p^2Q $ i的偏斜括号:Abelian类型
Skew braces of size $p^2q$ I: abelian type
论文作者
论文摘要
这是两篇文章系列的第一部分。在本文中,我们列举和分类尺寸$ p^2q $的左括号,其中$ p $和$ q $是不同的质量数字,这是通过对同一订单的阿贝利亚人组的常规子组的分类进行分类。我们还提供定义构造牙套的公式。
This is the first part of a series of two articles. In this paper we enumerate and classify the left braces of size $p^2q$ where $p$ and $q$ are distinct prime numbers by the classification of regular subgroups of the holomorph of the abelian groups of the same order. We also provide the formulas that define the constructed braces.