PMATH 347 Groups and Rings, Lecture Notes


You should read and understand all of the lecture notes, and
you should work on the exercises and understand all the solutions.
I will make additions and modifications to the notes throughout the term.

Chapter 1. Groups and Rings	Exercises 1	Solutions 1
Chapter 2. Subgroups and Cyclic Groups	Exercises 2	Solutions 2
Chapter 3. The Symmetric and Alternating Groups	Exercises 3	Solutions 3
Chapter 4. Group Homomorphisms and Isomorphisms	Exercises 4	Solutions 4
Chapter 5. Cosets, Normal Subgroups and Quotients	Exercises 5	Solutions 5
Chapter 6. The Classification of Finite Abelian Groups	Exercises 6	Solutions 6
Chapter 7. Group Action and the Sylov Theorems	Exercises 7	Solutions 7
Chapter 8. The Classification of Groups of Small Order	Exercises 8	Solutions 8
Chapter 9. Rings and Subrings	Exercises 9	Solutions 9
Chapter 10. Ring Homomorphisms, Ideals and Quotients	Exercises 10	Solutions 10
Chapter 11. Factorization in Commutative Rings	Exercises 11	Solutions 11
Chapter 12. Polynomial Rings	Exercises 12	Solutions 12