The quadratic isoperimetric inequality for mapping tori of free group automorphisms
Martin R. Bridson, Daniel Groves
TL;DR
This paper proves that the mapping tori of automorphisms of finitely generated free groups satisfy a quadratic isoperimetric inequality, advancing understanding of their geometric properties.
Contribution
It establishes a quadratic isoperimetric inequality for mapping tori of free group automorphisms, a significant result in geometric group theory.
Findings
Mapping tori of free group automorphisms satisfy quadratic isoperimetric inequality
Provides new insights into the geometric structure of free group automorphisms
Advances the understanding of the Dehn function in this context
Abstract
If F is a finitely generated free group and \phi is an automorphism of F then F \rtimes_\phi Z satisfties a quadratic isoperimetric inequality.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Mathematical Dynamics and Fractals