This order is by no means ideal; but it may help to provide some framework for a reediting of the main topic. Nor are the entries below considered a definitive set of topics; rather they reflect the current state of group theory articles on Wikipedia. Feel free to add or subtract from this list as appropriate.
History of; major contributors to
Famous Problems in
Applications of
Definitions in common with other mathematical ideas
Mathematical objects which have (or make use of) a group operation
Category theory and
Abstract Algebra and
Other mathematical disciplines which make great use of groups
Basic properties of groups and subgroups
Group Homomorphisms
Basic group structures and operations
Basic Building Block of groups and classifications
Understanding groups as permutation groups
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