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Snowflake geometry in CAT(0) groups (1602.08379v2)
Published 26 Feb 2016 in math.GR and math.GT
Abstract: We construct CAT(0) groups containing subgroups whose Dehn functions are given by $xs$, for a dense set of numbers $s \in [2, \infty)$. This significantly expands the known geometric behavior of subgroups of CAT(0) groups.