Course Title:
Algebra 3: Galois Theory
Course Description:
Continues MTH G112. Studies finite extensions of fields, automorphisms, structure of finite fields, normal and separable extensions, Galois group, fundamental theorem of Galois theory, cyclotomic fields, solvability of equations by radicals, and applications (for example, coding theory). Also includes Dedekind rings, integral closure of a Dedekind ring in a field extension, and ramification theory.
Fall Offering:
Lab/Coreq 1:
Spring Offering:
Lab/Coreq 2:
Summer Offering:
Lab/Coreq Remarks:
Summer 1 Offering:
Prerequisite 1:
MTH G112
Summer 2 Offering:
Prerequisite 2:
Cross-Listed Course 1:
Prerequisite 3:
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Cross-Listed Course 5:
Repeatable:
N