Abelian group

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

Relation to other mathematical topics

The abelian group, together with group homomorphisms, form a category, the prototype of an abelian category. In this encyclopedia, we denote this category Ab. See category of abelian groups for a list of its properties.

Related Topics:
Category - Abelian category - Category of abelian groups

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Many large abelian groups carry a natural topology, turning them into topological groups.

Related Topics:
Topology - Topological group

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