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A group is a set with an associative binary operation, an identity, and an inverse for every element.

Table of contents 296 15
- Finite group Group 28 1
  - Order of a finite group Finite group 12
- Nontrivial group Group 8
- Identity element Group 13
- Inverse element Group 11
- Group operation Group 21
- Translation in a group Group 16
- Cyclic group Group 77 2
  - Finite subgroup of the multiplicative complex numbers Cyclic group 28
  - Generator of a group Cyclic group 22
- Abelian group Group 16
- Finite additive group Group 31
- Subgroup Group 57 2
  - Index of a subgroup Subgroup 14
  - Index-two subgroup is normal Subgroup 27

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