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Critical exponents of boomerang subgroups in the free group

Critical exponents of boomerang subgroups in the free group cover

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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.

Cite this article

Waltraud Lederle, Critical exponents of boomerang subgroups in the free group. Groups Geom. Dyn. (2026), published online first

DOI 10.4171/GGD/988