The Dehn function of Stallings' group
Will Dison, Murray Elder, Tim Riley, Robert Young
TL;DR
This paper proves that Stallings' group, which is finitely presented but not of type F_3, has a quadratic Dehn function, contributing to understanding its geometric properties.
Contribution
It establishes that Stallings' group has a quadratic Dehn function despite not being of type F_3, a novel result in geometric group theory.
Findings
Stallings' group has a quadratic Dehn function.
The group is finitely presented but not of type F_3.
The result advances understanding of the group's geometric properties.
Abstract
We prove that the Dehn function of a group of Stallings that is finitely presented but not of type F_3 is quadratic. To appear in Geometric and Functional Analysis.
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