Cannon-Thurston maps for Coxeter groups including affine special subgroups

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.

18 pages. arXiv admin note: text overlap with arXiv:1312.3174

References in corpus (3)

• Asymptotical behaviour of roots of infinite Coxeter groups
• On Cannon-Thurston maps for relatively hyperbolic groups
• Cannon-Thurston maps for Coxeter groups with signature $(n-1,1)$

Cited by in corpus (1)

• Cannon-Thurston maps for Coxeter groups with signature $(n-1,1)$