Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"cube complexes"”.
-
On State Complexes and Special Cube Complexes
We find that state complexes are non-positively curved metric spaces, aspherical topological spaces, and have fundamental groups that are subgroups of right-angled Artin groups. In addition, we find that the property state is preserved when taking finite products, as is true in the case of special. …
-
Embeddings of cat(0) cube complexes in products of trees
In ‘Groups acting on connected cubes and Kazhdan’s property T’, [29], Niblo and Roller showed that any CAT(0) cube complex embeds combinatorially and quasi-isometrically in the Hilbert space '2(H) where H is the set of hyperplanes. This Hilbert space may be viewed as the completion of an infinite …
-
Uniform exponential growth of non-positively curved groups
… to show several groups with that act on cube complexes and many hierarchically hyperbolic groups have uniform exponential growth.
-
Cubical small-cancellation theory and large-dimensional hyperbolic groups
… finitely presented group Q and a compact special cube complex X with nonelementary hyperbolic fundamental group, we produce a non-elementary, torsion-free, cocompactly cubulated hyperbolic group Γ that surjects onto Q, with kernel isomorphic to a quotient of G = π_1X and such that max{cd(G),2} ≥ …
-
Cubulating CAT(0) groups and Property (T) in random groups
… we provide a condition on the links of polygonal complexes that allows us to cubulate groups acting properly discontinuously and cocompactly on such complexes. If the group is hyperbolic then this action is also cocompact, hence by Agol’s Theorem the group is virtually special (in the sense of …