Dehn functions for mapping tori of amalgam of free groups
Qianwen Sun
TL;DR
This paper proves that the Dehn function of the mapping torus formed from an amalgam of free groups under a specific automorphism is quadratic, contributing to geometric group theory understanding.
Contribution
It establishes the quadratic nature of the Dehn function for a class of mapping tori of amalgamated free groups under certain automorphisms.
Findings
Dehn function of the mapping torus is quadratic
Applicable to amalgams of free groups with specific automorphisms
Advances understanding of geometric properties of these groups
Abstract
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Mathematical Dynamics and Fractals