Selmer group

URI: https://gptkb.org/entity/Selmer_group
GPTKB entity
Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:definedIn gptkb:number_field
gptkbp:field algebraic number theory
gptkbp:generalizes gptkb:Selmer_group_of_abelian_varieties
gptkbp:hasSpecialCase gptkb:n-Selmer_group
gptkb:p-Selmer_group
gptkbp:heldBy gptkb:group_of_people
gptkb:Galois_cohomology_group
gptkbp:introducedIn 1950s
gptkbp:namedAfter gptkb:Ernst_Selmer
gptkbp:relatedTo gptkb:algebraic_geometry
gptkb:Tate–Shafarevich_group
gptkb:elliptic_curve
gptkbp:usedFor bounding rank of elliptic curves
gptkbp:usedIn gptkb:Mordell–Weil_theorem
study of rational points
gptkbp:bfsParent gptkb:Algebraic_number_theory
gptkb:Tate's_theorem_on_the_Galois_cohomology_of_elliptic_curves
gptkbp:bfsLayer 7
https://www.w3.org/2000/01/rdf-schema#label Selmer group