|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:actsOn
|
algebraic extensions of the field
|
|
gptkbp:alternativeName
|
absolute_Galois_group
|
|
gptkbp:appearsIn
|
gptkb:SGA_1
|
|
gptkbp:capturedBy
|
finite étale covers
|
|
gptkbp:category
|
gptkb:algebraic_geometry
|
|
gptkbp:definedIn
|
scheme
|
|
gptkbp:defines
|
the Galois group of the separable closure of a field over the field itself
|
|
gptkbp:describes
|
covering spaces in algebraic geometry
|
|
gptkbp:example
|
gptkb:absolute_Galois_group_of_finite_fields
gptkb:absolute_Galois_group_of_the_rational_numbers
|
|
gptkbp:field
|
gptkb:algebra
gptkb:algebraic_geometry
number theory
|
|
gptkbp:generalizes
|
topological fundamental group
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
étale fundamental group
|
|
gptkbp:importantFor
|
gptkb:inverse_Galois_problem
gptkb:anabelian_geometry
class field theory
|
|
gptkbp:introduced
|
gptkb:Alexander_Grothendieck
|
|
gptkbp:notation
|
gptkb:π₁^ét(X)
Gal(K^sep/K)
Gal(\\overline{K}/K)
|
|
gptkbp:property
|
gptkb:topology
profinite group
|
|
gptkbp:relatedTo
|
gptkb:fundamental_group
gptkb:Weyl_group
field theory
profinite group
separable closure
|
|
gptkbp:studiedBy
|
gptkb:Emil_Artin
gptkb:Jean-Pierre_Serre
gptkb:Alexander_Grothendieck
algebraic fundamental group
arithmetic of varieties
|
|
gptkbp:studiedIn
|
gptkb:anabelian_geometry
|
|
gptkbp:usedIn
|
gptkb:topology
arithmetic geometry
|
|
gptkbp:bfsParent
|
gptkb:étale_topology
gptkb:Weil_group
gptkb:motivic_Galois_group
gptkb:Galois_groups
gptkb:Grothendieck's_Galois_theory
gptkb:Grothendieck's_yoga_of_the_fundamental_group
gptkb:Grothendieck–Teichmüller_group
gptkb:SGA_(Séminaire_de_Géométrie_Algébrique)
|
|
gptkbp:bfsLayer
|
6
|