Finitely generated abelian group
Commutative group where every element is the sum of elements from one finite subset / From Wikipedia, the free encyclopedia
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In abstract algebra, an abelian group is called finitely generated if there exist finitely many elements in such that every in can be written in the form for some integers . In this case, we say that the set is a generating set of or that generate .
Every finite abelian group is finitely generated. The finitely generated abelian groups can be completely classified.