Asymptotic cones of finitely presented groups

نویسندگان
چکیده

برای دانلود رایگان 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

Asymptotic Cones of Finitely Presented Groups

Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) ≥ 2 and let Γ be a uniform lattice in G. (a) If CH holds, then Γ has a unique asymptotic cone up to homeomorphism. (b) If CH fails, then Γ has 2 ω asymptotic cones up to homeomorphism.

متن کامل

Asymptotic Dimension of Finitely Presented Groups

We prove that if a finitely presented group is one-ended then its asymptotic dimension is bigger than 1. It follows that a finitely presented group of asymptotic dimension 1 is virtually free.

متن کامل

A Finitely Presented Group with Two Non-Homeomorphic asymptotic Cones

We give an example of a finitely presented group G with two non-π 1-equivalent asymptotic cones.

متن کامل

Finitely Presented Residually Free Groups

We establish a general criterion for the finite presentability of subdirect products of groups and use this to characterize finitely presented residually free groups. We prove that, for all n ∈ N, a residually free group is of type FPn if and only if it is of type Fn. New families of subdirect products of free groups are constructed, including the first examples of finitely presented subgroups ...

متن کامل

Constructing Matrix Representations of Finitely Presented Groups

The Todd-Coxeter coset enumeration algorithm is one of the most powerful tools of computational group theory. It may be viewed as a means of constructing permutation representations of nitely presented groups. In this paper we present an analogous algorithm for directly constructing matrix representations over many elds. In fact the algorithm is more general than this, and can be used to constr...

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: Advances in Mathematics

سال: 2005

ISSN: 0001-8708

DOI: 10.1016/j.aim.2004.04.012