中文

自由群中每个增长率的子群

群论 2025-05-19 v1

摘要

对于每一个 α[1,2r1]\alpha \in [1,2r-1],我们证明存在一个子群 H<FrH<F_r 其增长率为 α\alpha

关键词

引用

@article{arxiv.2505.10650,
  title  = {Subgroups of a free group with every growth rate},
  author = {Michail Louvaris and Daniel T. Wise and Gal Yehuda},
  journal= {arXiv preprint arXiv:2505.10650},
  year   = {2025}
}