Quantifying residual finiteness of arithmetic groups
نویسندگان
چکیده
منابع مشابه
Finiteness of arithmetic Kleinian reflection groups
We prove that there are only finitely many arithmetic Kleinian maximal reflection groups. Mathematics Subject Classification (2000). Primary 30F40; Secondary 57M.
متن کاملFiniteness of Arithmetic Hyperbolic Reflection Groups
We prove that there are only finitely many conjugacy classes of arithmetic maximal hyperbolic reflection groups.
متن کاملBounding the Residual Finiteness of Free Groups
We find a lower bound to the size of finite groups detecting a given word in the free group. More precisely we construct a word wn of length n in non-abelian free groups with the property that wn is the identity on all finite quotients of size ∼ n2/3 or less. This improves on a previous result of BouRabee and McReynolds quantifying the lower bound of the residual finiteness of free groups. A gr...
متن کاملFiniteness properties of arithmetic groups over function fields
We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP∞ by comparing its large-scale geometry to the large-scale geometry of lattices in real semisimple Lie 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 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: Compositio Mathematica
سال: 2012
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x11007469