Linked from

The 10 pages that link to Frobenius endomorphism, each with the reason it gives.

• Finite 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.

• Freshman's dreamNarrower topic: The identity says this map preserves addition as well as multiplication.

• 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.