Date of Award
Doctor of Philosophy (PhD)
In this thesis we find that all imaginary n-quadratic fields with n>3 have class number larger than 1 and therefore cannot be Euclidean. We also examine imaginary triquadratic fields, presenting a complete list of 17 imaginary triquadratic fields with class number 1, and classifing many of them according to whether or not they are norm-Euclidean. We find that at least three of these fields are norm-Euclidean, and at least five are not.
Feaver, A.F. Amy, "Euclid's Algorithm in Multiquadratic Fields" (2014). Mathematics Graduate Theses & Dissertations. 30.