CONFORMAL GEOMETRY AND DYNAMICS 20(4) 58-80 2016年 [査読有り]
Let G be a non-elementary word-hyperbolic group acting as a convergence group on a compact metrizable space Z so that there exists a continuous G-equivariant map i : partial derivative G -> Z, which we call a Cannon-Thurston map. We obtain two cha...
In this paper, which is sequel to [10], we give a generalisation of the second Klein-Maskit combination theorem, the one dealing with HNN extensions, to higher dimension. We give some examples constructed as an application of the main theorem.