Snowflake geometry in CAT(0) groups

Abstract

We construct CAT(0) groups containing subgroups whose Dehn functions are given by $x^s$, for a dense set of numbers $s\in [2,\infty )$. This significantly expands the known geometric behavior of subgroups of CAT(0) groups.

48 pages, 13 figures. v2: minor corrections; to appear in Journal of Topology

References in corpus (2)

• Homological and homotopical Dehn functions are different
• Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups

Cited by in corpus (2)

• Divergence of finitely presented subgroups of CAT(0) groups
• Identifying Dehn Functions of Bestvina--Brady Groups From Their Defining Graphs