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 6 of 6 for “"Hyperbolic group"”.
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Generalizations of quasiconvexity for finitely generated groups
For a word-hyperbolic group G, the notion of quasiconvexity of a finitely generated subgroup H of G is independent of the choices of finite generating sets for G and H, and is equivalent to H being quasi- isometrically embedded in G. However, beyond word-hyperbolic groups, the notion of …
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Detecting topological properties of boundaries of hyperbolic groups
In general, a finitely presented group can have very nasty properties, but many of these properties are avoided if the group is assumed to admit a nice action by isometries on a space with a negative curvature property, such as Gromov hyperbolicity. Such groups are surprisingly common: there is a …
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Cubical small-cancellation theory and large-dimensional hyperbolic groups
Given a 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 …
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Algorithmic and statistical properties of filling elements of a free group, and quantitative residual properties of gamma-limit groups
A filling subgroup of a finitely generated free group F(X) is a subgroup which does not fix a point in any very small action free action on an R-tree. For the free group of rank two, we construct a combinatorial algorithm to determine whether or not a given finitely generated subgroup is filling. …
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Structure of Intermediate C*-subalgebras of discrete group actions
… we show that if $\Gamma$ is a $C^*$-simple group, then every such intermediate $C^*$-sub-algebra $\mathcal{B}$ is simple. Continuing our perusal, we find examples of inclusions $C_{\lambda}^*(\Gamma)\subseteq \mathcal{A}\rtimes_r\Gamma$ for which every intermediate $C^*$-sub-algebra …
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Trees, dendrites, and the Cannon-Thurston map
Made available in DSpace on 2020-08-26T21:54:20Z (GMT). No. of bitstreams: 7 FIELD-DISSERTATION-2020.pdf: 526393 bytes, checksum: 55c9b0a2e5c08967f5151d583f4ea47c (MD5) AlgebraicLamination.pdf: 11632 bytes, checksum: b93bb9ed7222c1b733ecf6d7808ed116 (MD5) EFieldThesis_Revised.tex: 200721 bytes, …