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Hensel, Sebastian (2021): (Un)distorted stabilisers in the handlebody group. In: Journal of Topology, Bd. 14, Nr. 2: S. 460-487

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Abstract

We study geometric properties of stabilisers in the handlebody group. We find that stabilisers of meridians are undistorted, while stabilisers of primitive curves or annuli are exponentially distorted for large enough genus.

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