FROM WALL SPACES TO CAT(0) CUBE COMPLEXES

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

From Wall Spaces to Cat(0) Cube Complexes

We explain how to adapt a construction of M. Sageev’s to construct a proper action on a CAT(0) cube complex starting from a proper action on a wall space.

متن کامل

Non-positively Curved Cube Complexes

Let Γ be a discrete group, defined by a presentation P = 〈ai | rj〉, say, or as the fundamental group of a connected CW-complex X. Remark 1.1. Let XP be the CW-complex with a single 0-cell E , one 1-cell E i for each ai (oriented accordingly), and one 2-cell E 2 j for each rj , with attaching map ∂E j → X (1) P that reads off the word rj in the generators {ai}. Then, by the Seifert–van Kampen Th...

متن کامل

Stallings’ folds for cube complexes

We describe a higher dimensional analogue of Stallings’ folding sequences for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups that act properly co-compactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.

متن کامل

Cube-like Polytopes and Complexes

The main purpose of this paper is to popularize Danzer’s power complex construction and establish some new results about covering maps between two power complexes. Power complexes are cube-like combinatorial structures that share many structural properties with higher-dimensional cubes and cubical tessellations on manifolds. Power complexes that are also abstract polytopes have repeatedly appea...

متن کامل

Ping Pong on Cat ( 0 ) Cube Complexes

Let G be a group acting properly and essentially on an irreducible, non-Euclidean finite dimensional CAT(0) cube complex X without a global fixed point at infinity. We show that for any finite collection of simultaneously inessential subgroups {H1, . . . , Hk} in G, there exists an element g of infinite order such that ∀i, 〈Hi, g〉 ∼= Hi ∗ 〈g〉. We apply this to show that any group, acting faithf...

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: International Journal of Algebra and Computation

سال: 2005

ISSN: 0218-1967,1793-6500

DOI: 10.1142/s0218196705002669