Groups admitting Wirtinger presentations and Gromov hyperbolic groups
Toshiyuki Akita
公開日: 2025/6/8
Abstract
Twisted Wirtinger presentations are generalizations of the classical Wirtinger presentations of knot and link groups. In this paper, we prove that if a finitely generated group admitting a twisted Wirtinger presentation is Gromov hyperbolic, then its second rational homology group vanishes. Moreover, if the group is torsion-free, then its second integral homology group also vanishes.