About: Relatively hyperbolic group

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In mathematics, the concept of a relatively hyperbolic group is an important generalization of the geometric group theory concept of a hyperbolic group. The motivating examples of relatively hyperbolic groups are the fundamental groups of complete noncompact hyperbolic manifolds of finite volume.

Attributes	Values
rdfs:label	Relativ hyperbolische Gruppe (de) Relatively hyperbolic group (en)
rdfs:comment	In der Mathematik sind relativ hyperbolische Gruppen ein Konzept der geometrischen Gruppentheorie, welches den Begriff der hyperbolischen Gruppe verallgemeinert und insbesondere die Fundamentalgruppen hyperbolischer Mannigfaltigkeiten endlichen Volumens umfasst, während nur die Fundamentalgruppen kompakter hyperbolischer Mannigfaltigkeiten hyperbolische Gruppen sind. Die relative Hyperbolizität einer Gruppe ist relativ zu einer Familie von Untergruppen definiert. Man spricht auch von relativ hyperbolischen Gruppen als Gruppen, die relativ zu einer echten Untergruppe hyperbolisch sind. (de) In mathematics, the concept of a relatively hyperbolic group is an important generalization of the geometric group theory concept of a hyperbolic group. The motivating examples of relatively hyperbolic groups are the fundamental groups of complete noncompact hyperbolic manifolds of finite volume. (en)
dcterms:subject	Geometric group theory
Wikipage page ID	21993809 (xsd:integer)
Wikipage revision ID	864291291 (xsd:integer)
Link from a Wikipage to another Wikipage	Hyperbolic group Geometric group theory Coset Mathematics Geometric group theory Denis Osin Fundamental group Subgroup Surface (topology) Cornelia Druţu Brian Bowditch Cayley graph Riemannian manifold Group (mathematics) Jason Behrstock Hyperbolic manifold Automorphism group Mapping class group Free abelian group Free group Finitely generated group Δ-hyperbolic space Sectional curvature Proper metric space Mikhail Gromov (mathematician) Genus (topology) Compact (topology) Complete manifold Outer automorphism dbr:Cusp_subgroup
Link from a Wikipage to an external page	https://arxiv.org/abs/math.GT/0512592 https://arxiv.org/abs/math/0404040v1 https://arxiv.org/abs/math/0601311
sameAs	Relatively hyperbolic group Relatively hyperbolic group Relatively hyperbolic group Relatively hyperbolic group
has abstract	In der Mathematik sind relativ hyperbolische Gruppen ein Konzept der geometrischen Gruppentheorie, welches den Begriff der hyperbolischen Gruppe verallgemeinert und insbesondere die Fundamentalgruppen hyperbolischer Mannigfaltigkeiten endlichen Volumens umfasst, während nur die Fundamentalgruppen kompakter hyperbolischer Mannigfaltigkeiten hyperbolische Gruppen sind. Die relative Hyperbolizität einer Gruppe ist relativ zu einer Familie von Untergruppen definiert. Man spricht auch von relativ hyperbolischen Gruppen als Gruppen, die relativ zu einer echten Untergruppe hyperbolisch sind. (de) In mathematics, the concept of a relatively hyperbolic group is an important generalization of the geometric group theory concept of a hyperbolic group. The motivating examples of relatively hyperbolic groups are the fundamental groups of complete noncompact hyperbolic manifolds of finite volume. (en)
gold:hypernym	Generalization
prov:wasDerivedFrom	wikipedia-en:Relatively_hyperbolic_group?oldid=864291291&ns=0
page length (characters) of wiki page	4506 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Relatively_hyperbolic_group
is Link from a Wikipage to another Wikipage of	Hyperbolic group Dehn function Quasi-isometry Cornelia Druțu Geometric group theory Convergence group Acylindrically hyperbolic group Brian Bowditch Co-Hopfian group Mark Sapir Free-by-cyclic group Grushko theorem Cannon–Thurston map Zlil Sela Van Kampen diagram Small cancellation theory Ultralimit Relatively Hyperbolic Group Relatively hyperbolic
is Wikipage redirect of	Relatively Hyperbolic Group Relatively hyperbolic
is foaf:primaryTopic of	wikipedia-en:Relatively_hyperbolic_group

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