3 papers
math.GR2025
Complete classification of the Dehn functions of Bestvina-Brady groups
Yu-Chan Chang, Jerónimo García-Mejía, Matteo Migliorini
We prove that the Dehn function of every finitely presented Bestvina-Brady group grows as a linear, quadratic, cubic, or quartic polynomial. In fact, we provide explicit criteria o…
math.GR2024
Random Dehn function of groups
Jerónimo García-Mejía, Antoine Goldsborough
In this note, we study the notion of random Dehn function and compute an asymptotic upper bound for finitely presented acylindrically hyperbolic groups whose Dehn function is at mo…
math.GR2023
On the Dehn functions of central products of nilpotent groups
Jerónimo García-Mejía, Claudio Llosa Isenrich, Gabriel Pallier
We determine the Dehn functions of central products of two families of filiform nilpotent Lie groups of arbitrary dimension with all simply connected nilpotent Lie groups with cycl…