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Hyperbolic group

In group theory, more precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a finitely generated group equipped with a word metric satisfying certain properties abstracted from classical hyperbolic geometry. The notion of a hyperbolic group was introduced and developed by Mikhail…

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Hyperbolic group

Nodes86
Edges85
Triples79
Avg. degree1.98
Density0.023256
Components1

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Hyperbolic group

Top relations

related to Further reading · 23
Hyperbolic group → Athanase, Berlin, BFb0084913, BFb0092577, Coornaert, Delzant, EMS Press, Encyclopedia, French, Geometry, Gromov, Géométrie, Hyperbolic Groups, ISBN, Lecture Notes, Mathematics, Michel, MR, Papadopoulos, Springer-Verlag
related to Algorithmic properties · 9
Hyperbolic group → Cannon, Cannon's, Hyperbolic, Indeed, It, Swenson, They, This, Whitehead's
related to Free groups and groups acting on trees · 9
Hyperbolic group → Cayley, Indeed, Let, Milnor, More, Such, Svarc, Then, Thus
related to Acylindrically hyperbolic groups · 6
Hyperbolic group → Acylindricity, An, Gromov-hyperbolic, Lattices, Lie, This
related to CAT(0) groups · 6
Hyperbolic group → CAT, Euclidean, In, It, Lie, This
related to Relatively hyperbolic groups · 6
Hyperbolic group → Interesting, Lie, Non-examples, Relatively, This, Very
related to Algebraic properties · 5
Hyperbolic group → G/H, Hyperbolic, It, Non-elementary, Tits
related to Homological properties · 5
Hyperbolic group → Hyperbolic, In, Mineyev, Rips, When
related to Elementary hyperbolic groups · 4
Hyperbolic group → Another, Cayley, It, The
related to Geometric properties · 3
Hyperbolic group → Hyperbolic, Non-elementary, Tits

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hyperbolic groups group displaystyle space doi finite mr example 10 geometric action finitely subgroup theory set gromov examples free mathbb

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SubjectPredicateObjectConfidenceSrc
Hyperbolic grouprelated to Acylindrically hyperbolic groupsAn0.60section
Hyperbolic grouprelated to Acylindrically hyperbolic groupsAcylindricity0.60section
Hyperbolic grouprelated to Acylindrically hyperbolic groupsGromov-hyperbolic0.60section
Hyperbolic grouprelated to Acylindrically hyperbolic groupsThis0.60section
Hyperbolic grouprelated to Acylindrically hyperbolic groupsLattices0.60section
Hyperbolic grouprelated to Acylindrically hyperbolic groupsLie0.60section
Hyperbolic grouprelated to Algebraic propertiesHyperbolic0.60section
Hyperbolic grouprelated to Algebraic propertiesTits0.60section
Hyperbolic grouprelated to Algebraic propertiesNon-elementary0.60section
Hyperbolic grouprelated to Algebraic propertiesG/H0.60section
Hyperbolic grouprelated to Algebraic propertiesIt0.60section
Hyperbolic grouprelated to Algorithmic propertiesHyperbolic0.60section

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