Accidental parabolics and relatively hyperbolic groups
نویسندگان
چکیده
منابع مشابه
Accidental Parabolics and Relatively Hyperbolic Groups
By constructing, in the relative case, objects analoguous to Rips and Sela’s canonical representatives, we prove that the set of conjugacy classes of images by morphisms without accidental parabolic, of a finitely presented group in a relatively hyperbolic group, is finite. An important result of W.Thurston is : Theorem 0.1 ([T] 8.8.6) Let S be any hyperbolic surface of finite area, and N any g...
متن کاملAccidental Parabolics in Mapping Class Groups
In this note we discuss the behavior of the Gromov boundaries and limit sets for the surface subgroups of the mapping class group with accidental parabolics constructed by the author and A. Reid in [8]. Specifically, we show that generically there are no Cannon–Thurston maps from the Gromov boundary to Thurston’s boundary of Teichmüller space.
متن کاملRelatively hyperbolic Groups
In this paper we develop some of the foundations of the theory of relatively hyperbolic groups as originally formulated by Gromov. We prove the equivalence of two definitions of this notion. One is essentially that of a group admitting a properly discontinuous geometrically finite action on a proper hyperbolic space, that is, such that every limit point is either a conical limit point or a boun...
متن کاملGrowth of relatively hyperbolic groups
We show that a relatively hyperbolic group either is virtually cyclic or has uniform exponential growth. Mathematics Subject Classification(2000). 20F65.
متن کاملLimit Groups for Relatively Hyperbolic
We begin the investigation of Γ-limit groups, where Γ is a torsion-free group which is hyperbolic relative to a collection of free abelian subgroups. Using the results of [16], we adapt the results from [21] and [22] to this context. Specifically, given a finitely generated group G, and a sequence of pairwise non-conjugate homomorphisms {hn : G → Γ}, we extract anR-tree with a nontrivial isomet...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2006
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02771780