|
gptkbp:instanceOf
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gptkb:mathematical_concept
|
|
gptkbp:actsOn
|
Hyperbolic plane
Isometries
|
|
gptkbp:application
|
gptkb:Uniformization_theorem
gptkb:Teichmüller_theory
gptkb:Automorphic_forms
|
|
gptkbp:class
|
Elementary Fuchsian group
Non-elementary Fuchsian group
|
|
gptkbp:containsElement
|
gptkb:Möbius_transformations
2x2 real matrices with determinant 1
|
|
gptkbp:defines
|
Discrete subgroups of PSL(2, R)
|
|
gptkbp:field
|
gptkb:Mathematics
|
|
gptkbp:hasInvariant
|
Hyperbolic metric
Limit set
|
|
gptkbp:hasSubfield
|
gptkb:Hyperbolic_geometry
Complex analysis
Geometric group theory
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Fuchsian Groups
|
|
gptkbp:namedAfter
|
gptkb:Lazarus_Fuchs
|
|
gptkbp:property
|
Can be cocompact
Can be cofinite
Can be finitely generated
Discrete subgroup of PSL(2, R)
Properly discontinuous action
|
|
gptkbp:relatedTo
|
gptkb:Modular_group
gptkb:Bers_embedding
gptkb:Riemann_surfaces
gptkb:Fuchsian_differential_equation
gptkb:Fuchsian_model
gptkb:Schottky_groups
gptkb:Fuchsian_function
gptkb:Fuchsian_group_of_the_first_kind
gptkb:Fuchsian_group_of_the_second_kind
gptkb:Fuchsian_lattice
gptkb:Fuchsian_representation
gptkb:Fuchsian_singularity
gptkb:Fuchsian_system
gptkb:Fuchsian_uniformization
gptkb:Hyperbolic_tessellations
gptkb:Quasifuchsian_groups
Kleinian groups
Fundamental domain
Quotient surfaces
Triangle groups
|
|
gptkbp:studiedBy
|
gptkb:Felix_Klein
gptkb:Henri_Poincaré
|
|
gptkbp:type
|
gptkb:Lie_group
Discrete group
|
|
gptkbp:bfsParent
|
gptkb:Svetlana_Katok
|
|
gptkbp:bfsLayer
|
6
|