Abstract
Contents
A. Extension Fields
B. Polynomials
C. Algebraic Elements
D. Splitting Fields
E. Unique Decomposition of Polynomials into Irreducible Factors
F. Group Characters
G. Applications and Examples to Theorem 13
H. Normal Extensions
I. Finite Fields
J. Roots of Unity
K. Noether Equations
L. Kummer's Fields
M. Simple Extensions
N. Existence of a Normal Basis
O. Theorem of Natural Rationality
Information
Published: 1 January 1971
First available in Project Euclid: 29 March 2007
Rights: Copyright © 1971, University of Notre Dame
