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.
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Showing 1 to 4 of 4 for “"Cube complex"”.
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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} ≥ …
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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 …
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Knot complements and 3-manifolds
The study of 3-manifold groups has reached big success in the last few decades, with the proof of geometrization theorem by Perelman, and several virtually compact special theorems by Wise, etc. In this paper, we will explore several aspects of 3-manifold groups and see what it shows for the knot …
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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.