Results 11 to 20 of about 101 (75)
Convexity in hierarchically hyperbolic spaces [PDF]
, 2023 Hierarchically hyperbolic spaces (HHSs) are a large class of spaces that provide a unified framework for studying the mapping class group, right-angled Artin and Coxeter groups, and many 3-manifold groups.
Russell, Jacob +2 more
core +2 more sources
The conjugacy problem for relatively hyperbolic groups [PDF]
, 2003 Solvability of the conjugacy problem for relatively hyperbolic groups was announced by Gromov (18). Using the definition of Farb of a relatively hyperbolic group in the strong sense (14), we prove this assertion. We conclude that the conjugacy problem is
Inna Bumagin
semanticscholar +1 more source
Non-positively curved complexes of groups and boundaries [PDF]
, 2012 Given a complex of groups over a finite simplicial complex in the sense of Haefliger, we give conditions under which it is possible to build an EZ ‐structure in the sense of Farrell and Lafont for its fundamental group out of such structures for its ...
Alexandre Martin
semanticscholar +1 more source
A January 2005 invitation to random groups
Ensaios matemáticos, 2005 Random groups provide a rigorous way to tackle such questions as “What does a typical (finitely generated) group look like?” or “What is the behavior of an element of a group when nothing particular happens?” We review the results obtained on random ...
Y. Ollivier
semanticscholar +1 more source
One-ended subgroups of graphs of free groups with cyclic edge groups [PDF]
, 2011 Consider a one-ended word-hyperbolic group. If it is the fundamental group of a graph of free groups with cyclic edge groups then either it is the fundamental group of a surface or it contains a finitely generated one-ended subgroup of infinite index. As
H. Wilton
semanticscholar +1 more source
CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
Forum of Mathematics, Sigma, 2013 We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a continuous map of the boundaries.
O. BAKER, T. R. RILEY
doaj +1 more source
Relative quasiconvexity using fine hyperbolic graphs [PDF]
, 2010 We provide a new and elegant approach to relative quasiconvexity for relatively hyperbolic groups in the context of Bowditch’s approach to relative hyperbolicity using cocompact actions on fine hyperbolic graphs.
Eduardo Martínez-Pedroza, D. Wise
semanticscholar +1 more source
AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM
Forum of Mathematics, Pi, 2016 We give an alternate proof of Wise’s malnormal special quotient theorem (MSQT), avoiding cubical small cancelation theory. We also show how to deduce Wise’s Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu and Wise and Haglund and Wise.
IAN AGOL +2 more
doaj +1 more source
Rips construction and Kazhdan property (T) [PDF]
, 2006 We show that for any non-elementary hyperbolic group H and any finitely presented group Q, there exists a short exact sequence 1 ! N ! G ! Q ! 1, where G is a hyperbolic group and N is a quotient group of H.
I. Belegradek, D. Osin
semanticscholar +1 more source
Finite-volume hyperbolic 3-manifolds contain immersed quasi-Fuchsian surfaces [PDF]
, 2014 The paper contains a new proof that a complete, non-compact hyperbolic 3‐manifold with finite volume contains an immersed, closed, quasi-Fuchsian surface.
M. Baker, D. Cooper
semanticscholar +1 more source