Structure of the web-pages on Algebra :

• Elementary Group Theory
  • Definition of a group.
  • Order of a group element or group.
  • Subgroups.
  • Cosets.
  • Normal Subgroups.
  • Homomorphisms.
  • The Three Laws of Isomorphism.
  • Case studies :
    
    • Cyclic groups.
    • Dihedral groups.
    • Permutation groups.
  • Action of a group on a set.
  • Class equation.
  • Group product.
  
  
• Intermediate Group Theory
  • First Sylow theorem
  • Second Sylow theorem
  • Third Sylow theorem
  • Free groups.
  • Finitely generated abelian groups.

Unfortunately, my notes are far from being complete.
This site was last updated on 7 Feb 1998.