List of group theory topics

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Structures and operations[edit]

Basic properties of groups[edit]

Group homomorphisms[edit]

Basic types of groups[edit]

Simple groups and their classification[edit]

Permutation and symmetry groups[edit]

Concepts groups share with other mathematics[edit]

Mathematical objects making use of a group operation[edit]

Mathematical fields & topics making important use of group theory[edit]

Algebraic structures related to groups[edit]

Group representations[edit]

Computational group theory[edit]

Applications[edit]

Famous problems[edit]

Other topics[edit]

Group theorists[edit]

See also[edit]