Syllabus
Lectures
Problem Sets
Tests
Links

Groups

• Subgroups, Homomorphisms, Quotient Groups, Automorphisms
  • Examples
  • Applications
• Representational Theory, Linear Characters, Small Representations of Small Groups
  • Examples
  • Applications
• Sylow Theorems, Solvable and Nilpotent Groups
  • Examples
  • Applications

Rings and Fields

• Properties, Subrings, Ideals, Quotients, Homomorphisms
  • Examples
  • Applications
• Factorization in Euclidean Rings and Principal Ideal Domains
  • Examples
• Applications
• Modules of Finite Type over a Principal Ideal Domain - Smith Normal Form
  • Examples
  • Applications

Advanced Topics