Noun
Frobenius endomorphism (plural Frobenius endomorphisms)
(algebra, commutative algebra, field theory) Given a commutative ring R with prime characteristic p, the endomorphism that maps x → x for all x ∈ R.
The Galois group of every finite extension of a finite field is finite and cyclic, with an iterate of the Frobenius endomorphism as its generator. Source: Internet