Critical exponents of boomerang subgroups in the free group

Groups Geometry and Dynamics 2026 Open access

Read full text
Authors: Waltraud Lederle
DOI: 10.4171/ggd/988
Cited by: 0

Abstract

We construct, for the free group acting on its Cayley tree, boomerang subgroups whose critical exponents are arbitrarily close to the critical exponent of a given finitely generated subgroup.

Fields of Study & Subjects

Geometric and Algebraic Topology Advanced Operator Algebra Research Finite Group Theory Research

Publication details

Journal / source
Groups Geometry and Dynamics
Publication date
28 August 2026