Critical exponents of boomerang subgroups in the free group
Group Theory
2025-12-25 v1
Abstract
We construct, for the free group acting on its Cayley tree, boomerang subgroups whose critical exponent is arbitrarily close to the critical exponent of a given finitely generated subgroup.
Cite
@article{arxiv.2512.20767,
title = {Critical exponents of boomerang subgroups in the free group},
author = {Waltraud Lederle},
journal= {arXiv preprint arXiv:2512.20767},
year = {2025}
}