Finiteness of the Class Group
Frequently is not a principal ideal domain. This chapter is
about a way to understand how badly fails to be a principal
ideal domain. The class group of measures this failure. As
one sees in a course on Class Field Theory, the class group and its
generalizations also yield deep insight into the
extensions of that are Galois with abelian Galois group.
Subsections
William Stein
2012-09-24