Solutions to Two Open Problems in Geometric Group Theory by Jordan A. Sahattchieve

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Solutions to Two Open Problems in Geometric Group Theory written by Jordan A. Sahattchieve
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Introduction and Synopsis

Background Non-positive Curvature in Metric Spaces, CAT(0) and δ-Hyperbolic groups, Basic Definitions, Comparison Triangles, Angles, and Rectifiable Curves, CAT(0) and δ-Hyperbolic Spaces, Isometries of CAT(0) Spaces, Cayley Graphs and Quasi-isometries, Ends of Pairs of Groups and Sageev's Cubing, Overview of Bass-Serre Theory, Ends of Group Pairs, Sageev's Cubing

On the Diagonal Action of ℤ on ℤn The Origin of Bounded Packing, Disc Packing in the Plane, More on Cubings, Bounded Packing and Coset Growth – Definitions and Basic Properties, Polycyclic Groups and the Groups Pn ,ϕ, The Dynamics of Linear Maps, The Diagonal Action of ℤ on ℤn, Bounded Packing in Pn ,ϕ, Coset Growth of H in P2,ϕ, Growth of Groups and Coset Growth, The Sol Geometry

On the Quasiconvex Subgroups of F m×ℤn Introduction and Basic Notions, Convex Hulls and Quasiconvex Subgroups, Free x Free-abelian Groups