Cannon-Thurston maps for Coxeter groups including affine special subgroups

2013/12/18 by Mineyama, Ryosuke
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1312.5017

Abstract

For a Coxeter group W we have an associating bi-linear form B on a real vector space. We assume that B has the signature (n-1,1). In this case we have the Cannon-Thurston map for W, that is, a W-equivariant continuous surjection from the Gromov boundary of W to the limit set of W. We focus on the case where Coxeter groups contain affine special subgroups.

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