projective line over finite fields

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs projective line over GF(q)
gptkbp:automorphismGroup PGL(2, q)
gptkbp:contains point at infinity
affine line over F_q
gptkbp:dimensions 1
gptkbp:field finite field
https://www.w3.org/2000/01/rdf-schema#label projective line over finite fields
gptkbp:notation P^1(F_q)
gptkbp:number_of_points q+1
gptkbp:pointsSystem equivalence classes of nonzero pairs (x, y) in F_q^2
gptkbp:relatedTo gptkb:geometry
gptkbp:usedIn gptkb:algebraic_geometry
coding theory
finite group theory
gptkbp:bfsParent gptkb:projective_line_over_R
gptkbp:bfsLayer 8