FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
From MaRDI portal
Publication:3379474
DOI10.1142/S0218196705002669zbMath1107.20027arXivmath/0309036MaRDI QIDQ3379474
Indira Chatterji, Graham A. Niblo
Publication date: 6 April 2006
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309036
Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60)
Related Items (50)
Cubulating random groups in the square model ⋮ Cubulating spaces with walls. ⋮ CAT(0) cube complexes with flat hyperplanes ⋮ The Furstenberg–Poisson boundary and CAT(0) cube complexes ⋮ Coarse median structures and homomorphisms from Kazhdan groups ⋮ Cocompactly cubulated 2-dimensional Artin groups ⋮ Wreath products with the integers, proper actions and Hilbert space compression. ⋮ A combination theorem for cubulation in small cancellation theory over free products ⋮ Leighton's theorem : extensions, limitations and quasitrees ⋮ Median sets of isometries in \(\mathrm{CAT}(0)\) cube complexes and some applications ⋮ On some convex cocompact groups in real hyperbolic space. ⋮ A note on torsion subgroups of groups acting on finite-dimensional CAT(0) cube complexes ⋮ The Poisson boundary of CAT(0) cube complex groups. ⋮ A non-trivial example of a free-by-free group with the Haagerup property. ⋮ Roller boundaries for median spaces and algebras ⋮ Isometries of CAT(0) cube complexes are semi-simple ⋮ Semistability of cubulated groups ⋮ Stability of the Haagerup property under graph products ⋮ Specializing cubulated relatively hyperbolic groups ⋮ Forest-skein groups II: Construction from homogeneously presented monoids ⋮ Homotopy equivalent boundaries of cube complexes ⋮ Stable cubulations, bicombings, and barycenters ⋮ A Proof of Sageev’s Theorem on Hyperplanes in CAT(0) Cubical Complexes ⋮ Finite asymptotic dimension for CAT(0) cube complexes. ⋮ The simplicial boundary of a CAT(0) cube complex ⋮ Relating CAT(0) cubical complexes and flag simplicial complexes ⋮ On embeddings of CAT(0) cube complexes into products of trees via colouring their hyperplanes ⋮ A characterization for asymptotic dimension growth ⋮ Virtual fibering of certain cover of \(\mathbb S^3\), branched over the figure eight knot ⋮ A Bożejko-Picardello type inequality for finite-dimensional CAT(0) cube complexes ⋮ Proper actions of lamplighter groups associated with free groups ⋮ Group cubization ⋮ Finiteness properties of cubulated groups ⋮ Complexes and exactness of certain Artin groups. ⋮ Weak amenability of CAT(0)-cubical groups ⋮ Coxeter groups are virtually special ⋮ Rank rigidity for CAT(0) cube complexes. ⋮ Kazhdan and Haagerup properties from the median viewpoint. ⋮ Quasiflats in hierarchically hyperbolic spaces ⋮ Rank-one isometries of CAT(0) cube complexes and their centralisers ⋮ Local similarities and the Haagerup property. With an appendix by Daniel S. Farley. ⋮ Cubulating random groups at density less than $1/6$ ⋮ Superrigidity of actions on finite rank median spaces ⋮ Effective quasimorphisms on right-angled Artin groups ⋮ A four point characterisation for coarse median spaces ⋮ Immersed cycles and the JSJ decomposition ⋮ Cross ratios and cubulations of hyperbolic groups ⋮ Cocompactly cubulated crystallographic groups ⋮ Cross‐ratios on CAT(0) cube complexes and marked length‐spectrum rigidity ⋮ Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
Cites Work
This page was built for publication: FROM WALL SPACES TO CAT(0) CUBE COMPLEXES