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The Geometry of the Handlebody Groups II: Dehn functions

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 نشر من قبل Sebastian Hensel
 تاريخ النشر 2018
  مجال البحث
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We show that the Dehn function of the handlebody group is exponential in any genus $ggeq 3$. On the other hand, we show that the handlebody group of genus $2$ is cubical, biautomatic, and therefore has a quadratic Dehn function.



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