MA 561-001, Fall 2012
Professor: Alberto Corso
Department of Mathematics
University of Kentucky
Office: 701 Patterson Office Tower (701 POT)
Telephone: (859) 257-3167
stop by my office whenever you see me.
Lecture: MWF 10:00-10:50am, CB 347
Topics: Here is an outline of what I hope to include this semester:
Introduction to groups
More examples of groups
Homomorphisms and isomorphisms
Normal subgroups and quotient subgroups
The isomorphism theorems
Transpositions and the alternating group
Composition series and simple groups
Direct products and the fundamental theorem for finitely
generated abelian groups
The automorphism group and inner automorphisms
The final grade will be computed as follows:
Basic notions of ring theory
Ring homomorphisms and ideals
Characteristic of a ring and prime fields
1st Exam 25%
2nd Exam 25%
Final Exam 25%
The date of the final exam is TBA.
Homework: I will assign homework regularly throughout the semester.
I strongly encourage students to discuss material together, but the
homework assignments that are turned in have to be individual efforts.
Discussing problems with other students is useful, but it is in your best
interest to not copy other students' answers. You must develop your own
ability to solve problems and to write them up clearly and correctly.
Abstract Algebra (3rd edition) by D.S. Dummit and R.M. Foote.
I suggest that you learn to use the Mathematics Library by consulting other
books on Abstract Algebra. There are many choices. If you find a particularly
good reference, tell others in the class about it. I can also suggest