Geometrical Finiteness for Hyperbolic Groups
نویسندگان
چکیده
منابع مشابه
Finiteness of Arithmetic Hyperbolic Reflection Groups
We prove that there are only finitely many conjugacy classes of arithmetic maximal hyperbolic reflection groups.
متن کاملOn the residual finiteness of outer automorphisms of hyperbolic groups
We show that every virtually torsion-free subgroup of the outer automorphism group of a conjugacy separable hyperbolic group is residually finite. As a result, we are able to prove that the group of outer automorphisms of every finitely generated Fuchsian group and of every free-by-finite group is residually finite.
متن کاملResidual Finiteness, Qcerf, and Fillings of Hyperbolic Groups
We prove that if every hyperbolic group is residually finite, then every quasi-convex subgroup of every hyperbolic group is separable. The main tool is relatively hyperbolic Dehn filling.
متن کاملA finiteness theorem for hyperbolic 3-manifolds
We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements.
متن کاملFiniteness of Class Numbers for Algebraic Groups
Let G be an affine group scheme of finite type over a global field F . (We do not assume G to be reductive or smooth or connected.) Let AF denote the locally compact adele ring of F , S be a finite non-empty set of places of F that contains the archimedean places, and AF the factor ring of adeles with vanishing component along S; for FS = ∏ v∈S Fv, we have AF = FS ×AF . Recall that if X is a fi...
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: Journal of Functional Analysis
سال: 1993
ISSN: 0022-1236
DOI: 10.1006/jfan.1993.1052