Math 511 syllabus
Course Description: A graduate level introduction to group theory. Topics include quotient groups, homomorphisms, group actions, Sylow theorems, composition series, simple groups, free groups, fundamental theorem of abelian groups.
Prerequisites: An undergraduate course in abstract algebra.
Suggested Text: Algebra, Second Edition, by Michael Artin.
Coverage: Chapters 2, 6 and 7, selected topics from chapter 9.
Learning outcomes: Upon the successful completion of the course a student will:
understand the fundamental algebraic concept of a group, its properties and applications
state definitions precisely
construct proofs of mathematical statements
read and understand proofs of mathematical theorems
apply theorems and learned techniques to new situations.