CAT(0) and CAT(-1) dimensions of torsion free hyperbolic groups

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cat(0) and Cat(-1) Dimensions of Torsion Free Hyperbolic Groups

We show that a particular free-by-cyclic group G has CAT(0) dimension equal to 2, but CAT(-1) dimension equal to 3. Starting from a fixed presentation 2-complex we define a family of non-positively curved piecewise Euclidean “model” spaces for G, and show that whenever the group acts properly by isometries on any proper 2-dimensional CAT(0) space X there exists a Gequivariant map from the unive...

متن کامل

On Endomorphisms of torsion-Free hyperbolic Groups

Let H be a torsion-free δ-hyperbolic group with respect to a finite generating set S. Let g1, . . . , gn and g1∗, . . . , gn∗ be elements of H such that gr∗ is conjugate to gr for each r = 1, . . . , n. There is a uniform conjugator if and only if W (g1∗, . . . , gn∗) is conjugate to W (g1, . . . , gn) for every word W in n variables and length up to a computable constant depending only on δ, ♯...

متن کامل

Test elements in torsion-free hyperbolic groups

We prove that in a torsion-free hyperbolic group, an element is a test element if and only if it is not contained in a proper retract.

متن کامل

On groups and fields interpretable in torsion-free hyperbolic groups

We prove that the generic type of a non-cyclic torsion-free hyperbolic group G is foreign to any interpretable abelian group, hence also to any interpretable field. This result depends, among other things, on the definable simplicity of a non-cyclic torsion-free hyperbolic group, and we take the opportunity to give a proof of the latter using Sela’s description of imaginaries in torsion-free hy...

متن کامل

One Variable Equations in Torsion-free Hyperbolic Groups

Let Γ be a torsion-free hyperbolic group. We show that the set of solutions of any system of equations with one variable in Γ is a finite union of points and cosets of centralizers if and only if any two-generator subgroup of Γ is free.

متن کامل

ذخیره 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: Commentarii Mathematici Helvetici

سال: 2007

ISSN: 0010-2571

DOI: 10.4171/cmh/85