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

Discussion

Purpose

The purpose of this page is to decide which topics are appropriate for Group theory, which should be discussed in Group (mathematics) and which, though interesting, should only be discussed in external articles. Additionally, the idea is to try to categorize the amount of rigor to use when mentioning these topics.

This is my idea for a purpose. Feel free to edit this purpose, the table, and the goals. This brainstorming page has a goal of trying to flush out how to create a structured, organized, and planned structure for the pages on group theory. I think the WP pages are incredibly chaotic. I hope we can make our articles here read like a fine textbook than a stack of randomly thrown-together articles. - Jared Grubb 11:07, 4 May 2007 (CDT)