Hyperbolic groups admitting twisted Wirtinger presentations have vanishing second rational homology, and vanishing second integral homology when torsion-free.
Davis,The geometry and topology of Coxeter groups, London Mathematical Soci- ety Monographs Series, vol
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Groups admitting Wirtinger presentations and Gromov hyperbolic groups
Hyperbolic groups admitting twisted Wirtinger presentations have vanishing second rational homology, and vanishing second integral homology when torsion-free.