English

Subgroups of a free group with every growth rate

Group Theory 2025-05-19 v1

Abstract

For every α[1,2r1]\alpha \in [1,2r-1], we show there exists a subgroup H<FrH<F_r whose growth rate is α\alpha.

Keywords

Cite

@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}
}