Growth tightness of quotients by confined subgroups

Published 16 Sep 2024 in math.GR and math.GT | (2409.10268v1)

Abstract: In this paper, we establish the growth tightness of the quotient by confined subgroups in groups admitting the statistically convex-cocompact action with contracting elements. The result is sharp in the sense that the actions could not be relaxed with purely exponential growth. Applications to uniformly recurrent subgroups are discussed.

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