Abstract
We show that the Dehn function of the handlebody group is exponential in any genus . On the other hand, we show that the handlebody group of genus 2 is cubical and biautomatic and therefore has a quadratic Dehn function.
Citation
Ursula Hamenstädt. Sebastian Hensel. "The Geometry of the Handlebody Groups II: Dehn Functions." Michigan Math. J. 70 (1) 23 - 53, March 2021. https://doi.org/10.1307/mmj/1586160015
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