KnowraFrobenius endomorphismLinked fromLinked fromThe 10 pages that link to Frobenius endomorphism, each with the reason it gives.All 10Related 9Narrower topic 1Finite fieldRelated: Its fixed points and iterates reveal subfields and structure in finite fields.Ferdinand Georg FrobeniusRelated: This algebraic map bears Frobenius’s name and became fundamental in finite-field theory.Abelian varietyRelated: Its action on an abelian variety encodes point counts over finite-field extensions.Field automorphismRelated: On a finite field this map is bijective, so it is a field automorphism.Weil conjecturesRelated: Its action on cohomology encodes point counts and controls zeta-function zeros.Arithmetic geometryRelated: Its action on cohomology encodes point counts over finite-field extensions.Ax–Grothendieck theoremRelated: Characteristic-p arguments use Frobenius to control polynomial maps.Hasse's theorem on elliptic curvesRelated: Its action on an elliptic curve encodes the point count that Hasse bounds.Lucas's theoremRelated: Its action on polynomial powers yields the digitwise factorization behind the theorem.