The Dehn Function of Richard Thompson's Group F is Quadratic
Victor Guba
TL;DR
This paper proves that the Dehn function of Richard Thompson's group F grows quadratically, providing a precise measure of its isoperimetric complexity.
Contribution
It establishes that the Dehn function of Thompson's group F is quadratic, resolving a key question about its geometric properties.
Findings
Dehn function of F is quadratic
Provides bounds on isoperimetric functions for F
Advances understanding of geometric group theory for F
Abstract
We prove that the Dehn function (that is, the smallest isoperimetric function) of the Richard Thompson's group F is quadratic.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Mathematical Dynamics and Fractals