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List of group theory topics
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List of group theory topics

This is a list of group theory topics, by Wikipedia page. to provide an overview of the topic and to allow those interested to use the "Related changes" feature to keep abreast of edits in this area.

See also: List of abstract algebra topics, List of category theory topics, list of Lie group topics.

Table of contents
1 History, major contributors
2 Famous problems
3 Applications
4 Definitions in common with other mathematical ideas
5 Mathematical objects which have (or make use of) a group operation
6 Abstract algebra
7 Other mathematical disciplines which make great use of groups
8 Basic properties of groups and subgroups
9 Group homomorphisms
10 Basic group structures and operations
11 Basic building block of groups, and classifications
12 Understanding groups as permutation and symmetry groups
13 Group representations
14 Computational group theory
15 Other topics

History, major contributors

Famous problems

Applications


Definitions in common with other mathematical ideas

Mathematical objects which have (or make use of) a group operation

Abstract algebra

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

Simple groups and their classification

Understanding groups as permutation and symmetry groups

Group representations

Computational group theory

Other topics