Results 21 to 30 of about 101 (75)

Relative divergence of finitely generated groups [PDF]

, 2014
We generalize the concept of divergence of finitely generated groups by introducing the upper and lower relative divergence of a finitely generated group with respect to a subgroup.
H. Tran
semanticscholar   +1 more source

Commensurability and separability of quasiconvex subgroups [PDF]

, 2006
We show that two uniform lattices of a regular right-angled Fuchsian building are commensurable, provided the chamber is a polygon with at least six edges. We show that in an arbitrary Gromov-hyperbolic regular right-angled building associated to a graph
Frédéric Haglund
semanticscholar   +1 more source

CANNON–THURSTON MAPS FOR KLEINIAN GROUPS

Forum of Mathematics, Pi, 2017
We show that Cannon–Thurston maps exist for degenerate free groups without parabolics, that is, for handlebody groups. Combining these techniques with earlier work proving the existence of Cannon–Thurston maps for surface groups, we show that Cannon ...
MAHAN MJ
doaj   +1 more source

Hyperbolic Coxeter groups with Sierpi\'nski carpet boundary [PDF]

, 2015
We give a necessary and sufficient condition for a hyperbolic Coxeter group with planar nerve to have Sierpiński curve as its Gromov boundary. Mathematics Subjest Classification (2010). 20F67; 20F55, 20F65.
Jacek 'Swikatkowski
semanticscholar   +1 more source

Harmonic Analysis on the Einstein Gyrogroup

, 2014
In this paper we study harmonic analysis on the Einstein gyrogroup of the open ball of R, n ∈ N, centered at the origin and with arbitrary radius t ∈ R, associated to the generalised Laplace-Beltrami operator Lσ,t = ( 1− ‖x‖ 2 t2 )∆− n ∑ i,j=1 xixj t2 ∂
M. Ferreira
semanticscholar   +1 more source

Symbolic dynamics and relatively hyperbolic groups [PDF]

, 2002
We study the action of a relatively hyperbolic group on its boundary by methods of symbolic dynamics. We show that this dynamical system is expansive, and, under a condition on parabolic subgroups (satisfied in most examples), that it is finitely ...
F. Dahmani, A. Yaman
semanticscholar   +1 more source

The Asymptotic Cone of Teichmuller Space: Thickness and Divergence [PDF]

, 2012
We study the asymptotic geometry of Teichmuller space equipped with the Weil‐ Petersson metric. In particular, we provide a characterization of the canonical finest pieces in the tree-graded structure of the asymptotic cone of Teichmuller space along the
H. Sultan
semanticscholar   +1 more source

Constructing subdivision rules from polyhedra with identifications [PDF]

, 2012
Cannon, Swenson and others have proved numerous theorems about subdivision rules associated to hyperbolic groups with a 2‐sphere at infinity. However, few explicit examples are known.
Brian Rushton
semanticscholar   +1 more source

Engulfing in word-hyperbolic groups [PDF]

Algebraic & Geometric Topology, 2002
We examine residual properties of word-hyperbolic groups, ad- apting a method introduced by Darren Long to study the residual properties of Kleinian groups.
Graham A. Niblo, B. Williams
semanticscholar   +1 more source

Parabolic isometries of CAT(0) spaces and CAT(0) dimensions (Perspectives of Hyperbolic Spaces II) [PDF]

, 2003
We study discrete groups from the view point of a dimension gap in connection to CAT(0) geometry. Developing studies by Brady-Crisp and Bridson, we show that there exist nitely presented groups of geometric dimension 2 which do not act properly on any ...
Koji Fujiwara, T. Shioya, S. Yamagata
semanticscholar   +1 more source