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 “"finitely presented group"”.
-
Proper decompositions of finitely presented groups
For a finitely presented group G, determining whether it admits a proper decomposition as an amalgamated free product or HNN-extension is often not straightforward. In a presentation 2-complex for G, there are special subsets called patterns and tracks. Bass-Serre theory and van Kampen's theorem …
-
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 …
-
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 …
-
Algorithmic analysis of presentations of groups and modules
… Quillen-Suslin Theorem,2. the analysis of finite group presentations, more precisely enumerating finite L_2-quotients of finitely presented groups.The emphasis has been put on the constructive aspects of all considered issues and on the development of methods and algorithms. The thesis is …
-
Geometric methods in the study of Pride groups and relative presentations
Combinatorial group theory is the study of groups given by presentations. Algebraic and geometric methods pervade this area of mathematics and it is the latter which forms the main theme of this thesis. In particular, we use diagrams and pictures over presentations to study problems in the domain …