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Skew braces of size p2q II: Non-abelian type
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-12-28 , DOI: 10.1142/s0219498822500621 E. Acri 1 , M. Bonatto 1
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-12-28 , DOI: 10.1142/s0219498822500621 E. Acri 1 , M. Bonatto 1
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In this paper we enumerate the skew braces of non-abelian type of size p 2 q 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 2 q 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 Bardakov et al .
中文翻译:
大小为 p2q II 的斜括号:非阿贝尔类型
在本文中,我们列举了尺寸为非阿贝尔类型的斜括号p 2 q 为了p , q 素数q > 2 通过同阶非阿贝尔群的全纯正则子群的分类。由于克雷斯波处理了此案q = 2 ,本文完成了大小斜撑的枚举p 2 q 开始于作者之前的工作。在某些情况下,我们还提供斜撑的结构描述。作为应用,我们证明了巴尔达科夫提出的一个猜想等人 .
更新日期:2020-12-28
中文翻译:
大小为 p2q II 的斜括号:非阿贝尔类型
在本文中,我们列举了尺寸为非阿贝尔类型的斜括号