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MATH 627 - Algebraic Number Theory - Fall 2017

Credits 3. 3 Lecture Hours.

Algebraic number fields and rings of algebraic integers; arithmetic in algebraic number fields; ideals; unique factorization of ideals; ideal classes and the class group; finiteness of the class number; Minkowski's theorem; Dirichlet's unit theorem; quadratic and cyclotomic number fields; splitting of primes in extension fields.
Prerequisite: MATH 653 or approval of instructor.


This course is not taught in Fall 2017.