Group theory: course
This is a one-semester course in modern algebra and groups.
- Modular arithmetic
- Definition of group
- Homomorphisms of groups
- Products of groups
- Quotients of groups
- Classification of abelian groups
- Rings and fields
- Transformation groups
- Contemporary Abstract Algebra by Gallian
- A First Course in Abstract Algebra Fraleigh. Chapters: 1. Groups and subgroups, 2. More groups and cosets, 3. Homomorphisms and factorgroups, 5. Introduction to rings and fields.