The Discriminant and Conductor of Bicyclic Quartic Fields

Abstract

Let K be a bicyclic field of degree 4 over Q given in the form K = Q(θ) whereThe discriminant d(K) and the conductor f (K) are explicitly determined in terms of A, B and C. ii Donald Rideout, my honours supervisor, H.E.A. Campbell, and my Master's supervisor, Ross Willard, for their crucial roles in my development as a mathematician.