Constructing Bowditch boundaries of some relatively hyperbolic groups that are homeomorphic to the n-dimensional Sierpiński carpet

2022/08/14 by de Souza, Lucas H. R.
#54D35 #54E45 #57S30 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Primary: 20F65 #Secondary: 57M07

paper · doi:10.48550/arxiv.2208.06942

Abstract

In this paper we prove that if some relatively hyperbolic groups have Bowditch boundary homeomorphic to the n-sphere, then they are also relatively hyperbolic with respect to another set of parabolic subgroups and its Bowditch boundary is homeomorphic to the n-1-dimensional Sierpiński carpet.

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