Glossary of group theory

A group is a set together with an associative operation that admits an identity element and such that there exists an inverse for every element.

For general description of the topic, see group theory.
See also: list of group theory topics
Look up Appendix:Glossary of group theory in Wiktionary, the free dictionary.
Algebraic structure → Group theory
Group theory
Basic notions
Group homomorphisms
Finite groups
Classification of finite simple groups
Modular groups
  • PSL(2, )
  • SL(2, )
Topological and Lie groups
Infinite dimensional Lie group
  • O(∞)
  • SU(∞)
  • Sp(∞)
Algebraic groups

Throughout this glossary, we use e to denote the identity element of a group.

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