2007 Fall MATH 251-01
Bulletin Course Description Groups including nilpotent and solvable groups, p-groups and Sylow theorems; rings and modules including classification of modules over a PID and applications to linear algebra; fields including extensions and Galois theory. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title GROUPS RINGS & FIELDS Department MATH Course Number 2007 Fall 251 Section Number 01 Primary Instructor Pardon,William L Permission required? N
Prerequisites
For graduate students: an undergraduate algebra course or permission of instructor
For undergraduates:
Math 200 or another undergraduate algebra course and permission of instructor
Synopsis of course content
Elementary group theory. Rings: ideals and finitenes conditions; principal ideal domains, unique factorization domains and their modules. Field theory: finite, normal, separable, algebraic and transcendental extensions; finite fields; Galois theory.
Textbooks
Abstract Algebra by Dummit and Foote
Assignments
Weekly written assignments
Exams
Midtem and Final
Grade to be based on
homework and exams.
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