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 groups and analyzing the dynamics of the action on the boundary in order to use Bowditch’s characterisation of hyperbolicity. A key ingredient is the introduction of a combinatorial property that implies a weak form of non-positive curvature, and which holds for large classes of complexes.As an application, we study the hyperbolicity of groups obtained by small cancellation over a graph of hyperbolic groups.

中文翻译：

---

双曲群的组合非正弯曲复合物的组合定理

我们证明了双曲群的组合定理，在群作用于表现出让人联想到非正曲率的组合特征的配合物的情况下。此类复合物包括例如弱收缩复合物和C'(1/6) 小对消多边形复合体。我们的证明涉及为结果组构建潜在的 Gromov 边界并分析边界上的动作动态，以便使用 Bowditch 的双曲线表征。一个关键因素是引入了一种组合性质，该性质意味着非正曲率的弱形式，并且适用于大类配合物。作为应用，我们研究通过双曲群图上的小抵消获得的群的双曲性.