Results 31 to 40 of about 101 (75)
Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups
Analysis and Geometry in Metric SpacesWe show that infinite cyclic subgroups of groups acting uniformly properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic groups, we use this to study translation lengths for actions on the ...
Abbott Carolyn +3 more
doaj +1 more source
Forum of Mathematics, SigmaWe compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj +1 more source
Volume distortion in groups [PDF]
, 2010 Given a space Y in X , a cycle in Y may be filled with a chain in two ways: either by restricting the chain to Y or by allowing it to be anywhere in X .
H. Bennett
semanticscholar +1 more source
Splittings and C-complexes [PDF]
, 2009 The intersection pattern of the translates of the limit set of a quasiconvex subgroup of a hyperbolic group can be coded in a natural incidence graph, which suggests connections with the splittings of the ambient group.
Mahan Mj, Peter Scott, G. Swarup
semanticscholar +1 more source
Hyperbolic Metric Spaces and Stochastic Embeddings
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
doaj +1 more source
Topological geodesics and virtual rigidity [PDF]
, 2001 We introduce the notion of a topological geodesic in a 3-manif- old. Under suitable hypotheses on the fundamental group, for instance word-hyperbolicity, topological geodesics are shown to have the useful prop- erties of, and play the same role in ...
L. Funar, Siddhartha Gadgil
semanticscholar +1 more source
The conjugacy problem for $\operatorname {Out}(F_3)$
Forum of Mathematics, SigmaWe present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani +3 more
doaj +1 more source
Contractibility of boundaries of cocompact convex sets and embeddings of limit sets
Analysis and Geometry in Metric SpacesWe provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj +1 more source
A simple criterion for non-relative hyperbolicity and one-endedness of groups
, 2008 We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many important classes of groups do not admit a strong relatively hyperbolic group ...
Javier Aramayona +2 more
core
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness. [PDF]
Bull Lond Math Soc, 2022 Hughes S.
europepmc +1 more source