Publications (21)
Genus bounds in right-angled Artin groups
Max Forester, Ignat Soroko, Jing Tao
We show that in any right-angled Artin group whose defining graph has chromatic number , every non-trivial element has stable commutator length at least . Secondly, if t…
Turn graphs and extremal surfaces in free groups
Noel Brady, Matt Clay, Max Forester
This note provides an alternate account of Calegari's rationality theorem for stable commutator length in free groups.
Diagrams and the second homotopy group
Max Forester, Colin Rourke
We use Klyachko's methods [A funny property of sphere and equations over groups, Comm. in Alg. 21 (1993) 2555--2575] (see also Fenn-Rourke, L'Enseignment Math. 42 (1996) 49--74 and…
Snowflake groups, Perron-Frobenius eigenvalues, and isoperimetric spectra
Noel Brady, Martin Bridson, Max Forester +1
The k-dimensional Dehn (or isoperimetric) function of a group bounds the volume of efficient ball-fillings of k-spheres mapped into k-connected spaces on which the group acts prope…
On uniqueness of JSJ decompositions of finitely generated groups
Max Forester
We give an example of two JSJ decompositions of a group that are not related by conjugation, conjugation of edge-inclusions, and slide moves. This answers the question of Rips and…
Incommensurable lattices in Baumslag-Solitar complexes
Max Forester
This paper concerns locally finite 2-complexes which are combinatorial models for the Baumslag-Solitar groups . We show that, in many cases, the locally compact…