Frobenius Element - Mathematics & Logic - Pure Mathematics Dictionary Definition The conjugacy class in the Galois group attached to an unramified prime, represented by an automorphism whose action on the residue field is the q-power map (x ↦ x^q), and which encodes how that prime permutes primes in extensions.
Frobenius Element - Mathematics & Logic - Pure Mathematics Dictionary Definition The conjugacy class in the Galois group attached to an unramified prime, represented by an automorphism whose action on the residue field is the q-power map (x ↦ x^q), and which encodes how that prime permutes primes in extensions.