University of Illinois at Chicago
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Dehn Functions of Mapping Tori of Hyperbolic Groups

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posted on 2023-08-01, 00:00 authored by Qianwen Sun
For an amalgam of two free groups and a particular kind of automorphism, we show that the Dehn function of the corresponding mapping torus is quadratic.

History

Advisor

Groves, Daniel

Chair

Groves, Daniel

Department

Mathematics , Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Degree name

PhD, Doctor of Philosophy

Committee Member

Farb, Benson Furman, Alexander Limbeek, Wouter Van Whyte, Kevin

Submitted date

August 2023

Thesis type

application/pdf

Language

  • en

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    Keywords

    Dehn functionamalgamDehn twist

    Licence

    In Copyright

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