中文

特征$p>2$下$p^3$次和$p^4$次的非阿贝尔扩张

数论 2024-03-06 v1

摘要

本文用Artin-Schreier方程描述了伽罗瓦群同构于p3p^3阶四个非循环群或p4p^4阶十个非阿贝尔群(pp为奇素数)的域扩张,域的特征为pp

关键词

引用

@article{arxiv.2403.02442,
  title  = {Non-Abelian extensions of degree $p^3$ and $p^4$ in characteristic $p>2$},
  author = {Grant Moles},
  journal= {arXiv preprint arXiv:2403.02442},
  year   = {2024}
}

备注

15 pages, 0 figures, to be published in Finite Fields and Their Applications