21.126 (2026)
Open(N. Brady). Do there exist finitely presented subgroups of right-angled Artin groups whose Dehn functions are super-exponential, or sub-exponential but not polynomial?
Such subgroups are known to exist in general $\text{CAT}(0)$ groups, whereas the only Dehn functions currently realized for subgroups of right-angled Artin groups are exponential and polynomial of arbitrary degree.
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