论文标题
大小$ p^2q $ ii的偏斜括号：非 - 亚伯利亚类型
Skew braces of size $p^2q$ II: non-abelian type
论文作者
论文摘要
在本文中，我们列举了$ p，q $ p $ p^2q $的偏斜括号，$ p，q $ primes，$ q>> 2 $，按照同一订单的非亚伯利亚群体的Holomorph的常规亚组分类。由于Crespo处理了Case $ Q = 2 $，因此本文完成了作者先前工作的零质量$ p^2q $的偏斜括号的枚举。在某些情况下，我们还提供了偏斜括号的结构描述。作为应用程序，我们证明了V. Bardakov，M。Neshchadim和M. Yadav提出的猜想。
In this paper we enumerate the skew braces of non-abelian type of size $p^2q$ for $p,q$ primes with $q>2$ by the classification of regular subgroups of the holomorph of the non-abelian groups of the same order. Since Crespo dealt with the case $q=2$, this paper completes the enumeration of skew braces of size $p^2q$ started in a previous work by the authors. In some cases, we provide also a structural description of the skew braces. As an application, we prove a conjecture posed by V. Bardakov, M. Neshchadim and M. Yadav.
