Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Geometric_group_theory> ?p ?o }
- Geometric_group_theory abstract "Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).Another important idea in geometric group theory is to consider finitely generated groups themselves as geometric objects. This is usually done by studying the Cayley graphs of groups, which, in addition to the graph structure, are endowed with the structure of a metric space, given by the so-called word metric.Geometric group theory, as a distinct area, is relatively new, and became a clearly identifiable branch of mathematics in the late 1980s and early 1990s. Geometric group theory closely interacts with low-dimensional topology, hyperbolic geometry, algebraic topology, computational group theory and differential geometry. There are also substantial connections with complexity theory, mathematical logic, the study of Lie Groups and their discrete subgroups, dynamical systems, probability theory, K-theory, and other areas of mathematics.In the introduction to his book Topics in Geometric Group Theory, Pierre de la Harpe wrote: "One of my personal beliefs is that fascination with symmetries and groups is one way of coping with frustrations of life's limitations: we like to recognize symmetries which allow us to recognize more than what we can see. In this sense the study of geometric group theory is a part of culture, and reminds me of several things that Georges de Rham practices on many occasions, such as teaching mathematics, reciting Mallarmé, or greeting a friend" (page 3 in ).".
- Geometric_group_theory thumbnail F2_Cayley_Graph.png?width=300.
- Geometric_group_theory wikiPageExternalLink cayley.html.
- Geometric_group_theory wikiPageExternalLink geogrouptheory.
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- Geometric_group_theory wikiPageExternalLink problems.
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- Geometric_group_theory wikiPageWikiLink Abelian_group.
- Geometric_group_theory wikiPageWikiLink Algebraic_geometry.
- Geometric_group_theory wikiPageWikiLink Algebraic_group.
- Geometric_group_theory wikiPageWikiLink Algebraic_topology.
- Geometric_group_theory wikiPageWikiLink Amenability.
- Geometric_group_theory wikiPageWikiLink Amenable_group.
- Geometric_group_theory wikiPageWikiLink Arithmetic_group.
- Geometric_group_theory wikiPageWikiLink Artin_group.
- Geometric_group_theory wikiPageWikiLink Automata_groups.
- Geometric_group_theory wikiPageWikiLink Automatic_group.
- Geometric_group_theory wikiPageWikiLink B._H._Bowditch.
- Geometric_group_theory wikiPageWikiLink Bass–Serre_theory.
- Geometric_group_theory wikiPageWikiLink Baumslag-Solitar_group.
- Geometric_group_theory wikiPageWikiLink Baumslag–Solitar_group.
- Geometric_group_theory wikiPageWikiLink Baum–Connes_conjecture.
- Geometric_group_theory wikiPageWikiLink Braid_group.
- Geometric_group_theory wikiPageWikiLink Brian_Bowditch.
- Geometric_group_theory wikiPageWikiLink Building_(mathematics).
- Geometric_group_theory wikiPageWikiLink Burnside_group.
- Geometric_group_theory wikiPageWikiLink Burnside_problem.
- Geometric_group_theory wikiPageWikiLink Burnsides_problem.
- Geometric_group_theory wikiPageWikiLink C*-algebra.
- Geometric_group_theory wikiPageWikiLink C*-algebras.
- Geometric_group_theory wikiPageWikiLink CAT(0)_group.
- Geometric_group_theory wikiPageWikiLink CAT(0)_space.
- Geometric_group_theory wikiPageWikiLink CAT(k)_group.
- Geometric_group_theory wikiPageWikiLink Cannons_conjecture.
- Geometric_group_theory wikiPageWikiLink Category:Geometric_group_theory.
- Geometric_group_theory wikiPageWikiLink Cayley_graph.
- Geometric_group_theory wikiPageWikiLink Combinatorial_group_theory.
- Geometric_group_theory wikiPageWikiLink Computational_complexity_theory.
- Geometric_group_theory wikiPageWikiLink Computational_group_theory.
- Geometric_group_theory wikiPageWikiLink Convergence_group.
- Geometric_group_theory wikiPageWikiLink Coxeter_group.
- Geometric_group_theory wikiPageWikiLink Cyclic_group.
- Geometric_group_theory wikiPageWikiLink Dehn_function.
- Geometric_group_theory wikiPageWikiLink Differential_geometry.
- Geometric_group_theory wikiPageWikiLink Discrete_group.
- Geometric_group_theory wikiPageWikiLink Dodecahedron.
- Geometric_group_theory wikiPageWikiLink Dynamical_system.
- Geometric_group_theory wikiPageWikiLink Dynamical_systems.
- Geometric_group_theory wikiPageWikiLink Egbert_van_Kampen.
- Geometric_group_theory wikiPageWikiLink Eliyahu_Rips.
- Geometric_group_theory wikiPageWikiLink Felix_Klein.
- Geometric_group_theory wikiPageWikiLink File:F2_Cayley_Graph.png.
- Geometric_group_theory wikiPageWikiLink Finite_subdivision_rule.
- Geometric_group_theory wikiPageWikiLink Finite_subdivision_rules.
- Geometric_group_theory wikiPageWikiLink Finitely_presented_group.
- Geometric_group_theory wikiPageWikiLink Free_group.
- Geometric_group_theory wikiPageWikiLink Free_product.
- Geometric_group_theory wikiPageWikiLink Generating_set_of_a_group.
- Geometric_group_theory wikiPageWikiLink Generic-case_complexity.
- Geometric_group_theory wikiPageWikiLink Geometric_analysis.
- Geometric_group_theory wikiPageWikiLink Geometrization_conjecture.
- Geometric_group_theory wikiPageWikiLink Geometry.
- Geometric_group_theory wikiPageWikiLink Georges_de_Rham.
- Geometric_group_theory wikiPageWikiLink Glossary_of_Riemannian_and_metric_geometry.
- Geometric_group_theory wikiPageWikiLink Graph_of_groups.
- Geometric_group_theory wikiPageWikiLink Grigorchuk_group.
- Geometric_group_theory wikiPageWikiLink Grigorchuks_group.
- Geometric_group_theory wikiPageWikiLink Gromov_boundary.
- Geometric_group_theory wikiPageWikiLink Gromovs_theorem_on_groups_of_polynomial_growth.
- Geometric_group_theory wikiPageWikiLink Group_action.
- Geometric_group_theory wikiPageWikiLink Group_cohomology.
- Geometric_group_theory wikiPageWikiLink Growth_rate_(group_theory).
- Geometric_group_theory wikiPageWikiLink Hadamard_space.
- Geometric_group_theory wikiPageWikiLink Hilbert_space.
- Geometric_group_theory wikiPageWikiLink Homeomorphism.
- Geometric_group_theory wikiPageWikiLink Hyperbolic_geometry.
- Geometric_group_theory wikiPageWikiLink Hyperbolic_group.
- Geometric_group_theory wikiPageWikiLink Icosahedral_symmetry.
- Geometric_group_theory wikiPageWikiLink Icosian_calculus.
- Geometric_group_theory wikiPageWikiLink Integer.
- Geometric_group_theory wikiPageWikiLink Isomorphism_problem_(groups).
- Geometric_group_theory wikiPageWikiLink Iterated_monodromy_group.
- Geometric_group_theory wikiPageWikiLink J._H._C._Whitehead.
- Geometric_group_theory wikiPageWikiLink Jakob_Nielsen_(mathematician).
- Geometric_group_theory wikiPageWikiLink K-theory.
- Geometric_group_theory wikiPageWikiLink Kazhdans_property_(T).
- Geometric_group_theory wikiPageWikiLink Kleinian_group.
- Geometric_group_theory wikiPageWikiLink Kurt_Reidemeister.
- Geometric_group_theory wikiPageWikiLink Lie_Group.
- Geometric_group_theory wikiPageWikiLink Lie_group.
- Geometric_group_theory wikiPageWikiLink Limit_group.
- Geometric_group_theory wikiPageWikiLink Low-dimensional_topology.
- Geometric_group_theory wikiPageWikiLink Mapping_class_group.
- Geometric_group_theory wikiPageWikiLink Martin_Grindlinger.
- Geometric_group_theory wikiPageWikiLink Mathematical_logic.
- Geometric_group_theory wikiPageWikiLink Mathematics.
- Geometric_group_theory wikiPageWikiLink Max_Dehn.