Results 21 to 30 of about 581 (37)
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
On the Cut Number of a 3-manifold
, 2002 The question was raised as to whether the cut number of a 3-manifold X is bounded from below by 1/3 beta_1(X). We show that the answer to this question is `no.' For each m>0, we construct explicit examples of closed 3-manifolds X with beta_1(X)=m and cut
Gilmer +4 more
core +2 more sources
The strong profinite genus of a finitely presented group can be infinite [PDF]
, 2015 We construct the first example of a finitely-presented, residually-finite group that contains an infinite sequence of non-isomorphic finitely-presented subgroups such that each of the inclusion maps induces an isomorphism of profinite completions.Comment:
Bridson, Martin R.
core
Virtually splitting the map from Aut(G) to Out(G)
, 2013 We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic groups, and in particular to all finitely generated Coxeter groups.
Carette, Mathieu
core +1 more source
, 2009 The intersection pattern of the translates of the limit set of a quasi-convex subgroup of a hyperbolic group can be coded in a natural incidence graph, which suggests connections with the splittings of the ambient group.
Cohen +5 more
core +2 more sources
Erratum for "The degree theorem in higher rank" [PDF]
, 2015 The purpose of this erratum is to correct a mistake in the proof of Theorem 4.1 of our paper \cite{CF}.Comment: Minor revisions suggested by ...
Connell, Chris, Farb, Benson
core
Inducing maps between Gromov boundaries
, 2015 It is well known that quasi-isometric embeddings of Gromov hyperbolic spaces induce topological embeddings of their Gromov boundaries. A more general question is to detect classes of functions between Gromov hyperbolic spaces that induce continuous maps ...
Dydak, Jerzy, Virk, Ziga
core +1 more source
, 2016 We consider a `contracting boundary' of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.
Cashen, Christopher H.
core +2 more sources
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
On a question of Bumagin and Wise [PDF]
, 2015 Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise non-isomorphic finitely generated, non-recursively-presentable groups.
Logan, Alan D.
core +1 more source