中文

具有指数多个非共轭正则初等交换子群的置换群族

群论 2021-07-06 v1

摘要

给定一个素数 pp,我们构造了一个置换群,它包含至少 pp2p^{p-2} 个阶为 p3p^3 的非共轭正则初等交换子群。这给出了首个具有指数多个非共轭正则子群的置换群的例子。

关键词

引用

@article{arxiv.1609.08467,
  title  = {A family of permutation groups with exponentially many non-conjugated regular elementary abelian subgroups},
  author = {Sergei Evdokimov and Mikhail Muzychuk and Ilia Ponomarenko},
  journal= {arXiv preprint arXiv:1609.08467},
  year   = {2021}
}

备注

6 pages