Results 51 to 60 of about 437,604 (285)
Quasiconvexity in relatively hyperbolic groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2015 Abstract We study different notions of quasiconvexity for a subgroup H of a relatively hyperbolic group G. Our first result implies that relative geometric quasiconvexity is equivalent to dynamical quasiconvexity as it was conjectured by D. Osin.
Gerasimov, V., Potyagailo, L.
openaire +3 more sources
Peripheral splittings of groups [PDF]
, 2001 We define the notion of a "peripheral splitting" of a group. This is essentially a representation of the group as the fundamental group of a bipartite graph of groups, where all the vertex groups of one colour are held fixed - the "peripheral ...
Bowditch, B. H.
core +1 more source
Separation of Relatively Quasiconvex Subgroups [PDF]
, 2009 Suppose that all hyperbolic groups are residually finite. The following statements follow: In relatively hyperbolic groups with peripheral structures consisting of finitely generated nilpotent subgroups, quasiconvex subgroups are separable; Geometrically
Alperin +8 more
core +5 more sources
Relations between various boundaries of relatively hyperbolic groups [PDF]
, 2013 Suppose a group $G$ is relatively hyperbolic with respect to a collection $\PP$ of its subgroups and also acts properly, cocompactly on a $\CAT(0)$ (or $\delta$--hyperbolic) space $X$.
Tran, Hung Cong
core +1 more source
The generalised word problem in hyperbolic and relatively hyperbolic groups [PDF]
Journal of Algebra, 2018 We prove that, for a finitely generated group hyperbolic relative to virtually abelian subgroups, the generalised word problem for a parabolic subgroup is the language of a real-time Turing machine. Then, for a hyperbolic group, we show that the generalised word problem for a quasiconvex subgroup is a real-time language under either of two additional ...
Laura Ciobanu, Derek F. Holt, Sarah Rees
openalex +5 more sources
Extending properties to relatively hyperbolic groups [PDF]
Kyoto Journal of Mathematics, 2019 11 ...
Ramras, Daniel A., Ramsey, Bobby W.
openaire +5 more sources
On canonical splittings of relatively hyperbolic groups [PDF]
Israel Journal of Mathematics, 2019 A JSJ decomposition of a group is a splitting that allows one to classify all possible splittings of the group over a certain family of edge groups. Although JSJ decompositions are not unique in general, Guirardel–Levitt have constructed a canonical JSJ ...
M. Haulmark, G. Hruska
semanticscholar +1 more source
McCool groups of toral relatively hyperbolic groups [PDF]
Algebraic & Geometric Topology, 2015 The outer automorphism group Out(G) of a group G acts on the set of conjugacy classes of elements of G. McCool proved that the stabilizer $Mc(c_1,...,c_n)$ of a finite set of conjugacy classes is finitely presented when G is free. More generally, we consider the group $Mc(H_1,...,H_n)$ of outer automorphisms $ $ of G acting trivially on a family of ...
Guirardel, Vincent, Levitt, Gilbert
openaire +7 more sources
, 2015 We introduce and systematically study the concept of a growth tight action. This generalizes growth tightness for word metrics as initiated by Grigorchuk and de la Harpe.
Arzhantseva, Goulnara N. +2 more
core +2 more sources
Asymptotic dimension of relatively hyperbolic groups
International Mathematics Research Notices, 2004 The proof of the main result is simplified, some misprints are ...
D. Osin
openalex +6 more sources