[1] Algebraic Themes

  1. [1.5] Permutations (Representing Symmetries)
  2. [1.6] Z (1.6.1 - 1.6.2)
  3. [1.6] Prime Numbers (1.6.4 - 1.6.7)
  4. [1.6] Greatest Common Divisor (1.6.8 - 1.6.13)
  5. [1.6] Relatively Prime Integers (1.6.14 - 1.6.21)
  6. [1.6] Greatest Common Divisor of Many Integers (1.6.22 - 1.6.25)
  7. [1.7] Modular Arithmetic


[2] Basic Theory of Groups

  1. [2.1] First Results
  2. [2.2] Subgroups and Cyclic Groups
  3. [2.4] Homomorphisms and Isomorphisms
  4. [2.5] Cosets and Lagrange’s Theorem