Syllabus Math 427

 

Math 427. Honors Abstract Algebra
Instructor Syllabus

Text: I.N. Herstein, Abstract Algebra, 3rd edition, Prentice-Hall, 1996

Chapter 1: Things Familiar (2 hours)

Chapter 2: Groups (consider inclusion of group actions and proofs of all three Sylow theorems; 14 hours)

Chapter 3: Symmetric Group (consider proving the simplicity of alternating groups; 3 hours)

Chapter 4: Ring Theory (8 hours)

Chapter 5: Fields (9 hours)

Chapter 6: Special Topics (3 hours)

Leeway and Exams (4 hours)