A combination theorem for combinatorially non-positively curved complexes of hyperbolic groups
A combination theorem for combinatorially non-positively curved complexes of hyperbolic groups
Abstract We prove a combination theorem for hyperbolic groups, in the case of groups acting on complexes displaying combinatorial features reminiscent of non-positive curvature. Such complexes include for instance weakly systolic complexes and C '(1/6) small cancellation polygonal complexes. Our proof involves constructing a potential Gromov boundary for the resulting …