The triangle groups (2, 4, 5) and (2, 5, 5) are not systolic

Weak Modularity and A˜ n Coxeter Groups

Z Munro - Michigan Mathematical Journal, 2024 - projecteuclid.org
The A˜ n Coxeter groups are known to not be systolic or cocompactly cubulated for n≥ 3.
We prove that these groups act geometrically on weakly modular graphs, a weak notion of …
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