The Geometry of the Handlebody Groups II: Dehn Functions

Hamenstaedt, Ursula und Hensel, Sebastian (2021): The Geometry of the Handlebody Groups II: Dehn Functions. In: Michigan Mathematical Journal, Bd. 70, Nr. 1: S. 23-53

Abstract

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

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0026-2285
• Sprache: Englisch