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arXiv:1804.11133 [math.GR]AbstractReferencesReviewsResources

The Geometry of the Handlebody Groups II: Dehn functions

Ursula Hamenstädt, Sebastian Hensel

Published 2018-04-30Version 1

We show that the Dehn function of the handlebody group is exponential in any genus $g\geq 3$. On the other hand, we show that the handlebody group of genus $2$ is cubical, biautomatic, and therefore has a quadratic Dehn function.

Comments: 29 pages, 8 figures
Categories: math.GR, math.GT, math.MG
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