27 citations · 85 across the 15 of their papers we have counts for
20 papers
Superexponential Dehn functions inside CAT(0) groups
Noel Brady, Hung Cong Tran
We construct 4-dimensional CAT(0) groups containing finitely presented subgroups whose Dehn functions are for integers and 6-dimensional CAT(0) grou…
Divergence of finitely presented subgroups of CAT(0) groups
Noel Brady, Hung Cong Tran
We construct families of groups containing finitely presented groups whose divergence functions are of the form for a dense set of exponents and $r…
Homological Dehn functions of groups of type
Noel Brady, Robert Kropholler, Ignat Soroko
We prove foundational results for homological Dehn functions of groups of type such as superadditivity and the invariance under quasi-isometry. We then study the homological…
Divergence of finitely presented groups
Noel Brady, Hung Cong Tran
We construct families of finitely presented groups exhibiting new divergence behavior; we obtain divergence functions of the form for a dense set of exponents $α\in [2,\infty…
Dehn functions of subgroups of right-angled Artin groups
Noel Brady, Ignat Soroko
We show that for each positive integer there exist right-angled Artin groups containing free-by-cyclic subgroups whose monodromy automorphisms grow as . As a consequence w…
Snowflake geometry in CAT(0) groups
Noel Brady, Max Forester
We construct CAT(0) groups containing subgroups whose Dehn functions are given by , for a dense set of numbers . This significantly expands the known geomet…