- About the course
- Introduction
- Groups - definition and basic properties
- Modular arithmetic
- Permutations
- Symmetries
- Order of an element
- Subgroups
- Cyclic groups
- Alternating groups
- Cosets and Lagrange's Theorem
- Homomorphisms of groups
- Isomorphisms
- Normal subgroups
- Quotient groups
- The first isomorphism theorem
- Rings: definition and basic properties
- Examples of rings
- Special types of rings
- Subrings, ideals and quotients
- Homomorphisms, isomorphisms and the first isomorphism theorem for rings
- Conclusion
- About this document ...

Edmund F Robertson

11 September 2006