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arXiv · 1602.08379

Snowflake geometry in CAT(0) groups

Noel Brady·Max Forester
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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.

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Noel Brady, Max Forester. 2016-02-26. Snowflake geometry in CAT(0) groups. https://doi.org/10.1112/topo.12028

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