The Geometry of the Handlebody Groups II: Dehn Functions

Hamenstaedt, Ursula and Hensel, Sebastian (2021): The Geometry of the Handlebody Groups II: Dehn Functions. In: Michigan Mathematical Journal, Vol. 70, No. 1: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0026-2285
• Language: English