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math.GR 1

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On the growth spectrum of hyperbolic groups

math.GR · 2026-07-02 · unverdicted · novelty 6.0

For free and surface groups acting convex-cocompactly on hyperbolic spaces the growth spectrum is [0, ω_G]; for any hyperbolic group it contains [0, ω_G/2] (strictly larger if divergent).

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  • On the growth spectrum of hyperbolic groups math.GR · 2026-07-02 · unverdicted · none · ref 2

    For free and surface groups acting convex-cocompactly on hyperbolic spaces the growth spectrum is [0, ω_G]; for any hyperbolic group it contains [0, ω_G/2] (strictly larger if divergent).