Group
Name given to an algebraic structure (G, ⊕) formed by a set G in which we defined an operation noted here as ⊕ responding to the following conditions:
- G has an identity element n for the operation ⊕;
- each element x of G has a symmetric x ' in G such as x ⊕ x ' = n.
Properties
- Abelian group Synonym for commutative group
- Commutative group Group in which the law of composition is commutative.