Talk:Group theory/Brainstorming

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< Talk:Group theory
Revision as of 10:54, 4 May 2007 by imported>Jared Grubb (some content)
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Topics to discuss on Group theory
Basic topics (assume no prior knowledge)

(These should be written simply, undergrad/lay audience)

Advanced topics (important, but not for the layman)

(These can assume more rigorous background)

  • Definition
    • Normal
    • Abelian
    • Cyclic
    • Solvable
  • Examples
    • Z, R
    • Dihedral groups
    • General linear groups
  • Applications
    • Quintic polynomial
    • Music theory
    • Quantum physics
  • Generalizations (monoids, etc)
  • Definitions
    • Free groups
    • Lie groups
  • Examples
    • ??
  • Presentation
  • Operations on groups
    • Homo/Isomorphisms
    • Automorphisms
      • Aut() group
      • Inner automorphisms
    • Group actions
Topics to disucss on Group (mathematics)
Basic topics Advanced topics



Topics to discuss elsewhere
Basic topics Advanced topics