中文

关于Thompson群$F$的某生成集

群论 2023-05-16 v2

摘要

我们证明Thompson群FF有一个由两个元素组成的生成集,使得其中任意两个元素的幂均生成FF的一个有限指数子群。

关键词

引用

@article{arxiv.2210.16876,
  title  = {On some generating set of Thompson's group $F$},
  author = {Gili Golan and Mark Sapir},
  journal= {arXiv preprint arXiv:2210.16876},
  year   = {2023}
}

备注

13 pages, 2 figures. v2: The proof of the main theorem was simplified following referee's suggestion. arXiv admin note: text overlap with arXiv:2209.03244. text overlap with arXiv:2210.03564