Groups

• Cayley Diagrams
  • Small Groups giving Cayley diagrams for all groups with fewer than 32 elements.
  • Platonic Solids giving Cayley diagrams drawn on symmetrical polyhedra
  • Plane Tilings giving Cayley diagrams drawn on the Euclidean plane
  • Infinite "Two-Ended" Groups giving Cayley diagrams for a very few infinite groups
  • Double Cayley diagrams, showing groups and their automorphism groups in the same diagram:
    • Small groups
    • Small groups of prime order
• ways of building larger groups from small ones
• some groups acting on the colour cube
• A puzzle involving permutations