Abelian group

In mathematics, an abelian group, also called a commutative group, is a group (G, *) such that

Notation

There are two main notational conventions for abelian groups -- additive and multiplicative.

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The multiplicative notation is the usual notation for groups, while the additive notation is the usual notation for modules. When studying abelian groups in their own right, the additive notation is usually used.

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