大小为 $p^2q$ 的斜 braces
群论
2020-05-11 v2 量子代数
环与代数
摘要
本文通过对大小为 的群的全形中正则子群的分类，枚举了 为奇素数时大小为 的斜 braces。特别地，我们给出了阿贝尔型斜 braces 的显式公式。
关键词
引用
@article{arxiv.1912.11889,
title = {Skew braces of size $p^2q$},
author = {Emiliano Acri and Marco Bonatto},
journal= {arXiv preprint arXiv:1912.11889},
year = {2020}
}
备注
We decided to withdraw this paper because we splitted our work into two parts extending and improving the results to cover all the skew braces of size $p^2q$ with $p$ and $q$ two different prime numbers. Therefore we completed the enumeration, including the even case that we avoided in this first work. The new versions are available at arXiv:2004.04291 and arXiv:2004.04232