Talk:Group theory/Brainstorming

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 Finite Z/pZ Dihedral groups Infinite R, Z, Q, C General linear groups Applications Quintic polynomial Music theory Quantum physics Theorems Sylow	Definitions Free groups Lie groups Presentation Operations on groups Homo/Isomorphisms Automorphisms Aut() group Inner automorphisms Group actions Constructing groups Direct product Semidirect product Relation to other algebraic structures Generalizations (monoids, etc) Galois groups
Topics to disucss on Group (mathematics)
Basic topics	Advanced topics
Definitions Group Notation Orders Lagrange's theorem Subgroups Cosets Normal subgroup Quotient groups Abelian Cyclic Solvable Theorems Langrange Cayley Sylow Burnside	Group actions P-groups with non-trivial centers Presentation
Topics to discuss elsewhere
Basic topics	Advanced topics
Examples of groups Finite Z/pZ Dihedral Symmetric Alternating Quarternions Infinite R,Z,C,Q General linear