中文

关于分支群有限生成子群的结构

群论 2025-04-02 v2

摘要

我们描述了具有所谓子群归纳性质的分支群的有限生成子群的块结构,其中包括第一 Grigorchuk 群G\mathcal{G}和挠 GGS 群。

关键词

引用

@article{arxiv.2402.15496,
  title  = {On the structure of finitely generated subgroups of branch groups},
  author = {Dominik Francoeur and Rostislav Grigorchuk and Paul-Henry Leemann and Tatiana Nagnibeda},
  journal= {arXiv preprint arXiv:2402.15496},
  year   = {2025}
}

备注

35 pages, 3 figures. v2: Final version. The proof of Theorem 6.13 was proving a little bit more than announced, this is now made explicit in remark 6.16