Snowflake geometry in CAT(0) groups
classification
🧮 math.GR
math.GT
keywords
groupssubgroupsbehaviorconstructcontainingdehndenseexpands
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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.
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