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Finitely generated abelian group
Commutative group where every element is the sum of elements from one finite subset
Finitely generated abelian group
In abstract algebra, an abelian group ( G , + ) {\displaystyle (G,+)} is called finitely generated if there exist finitely many elements x 1 , … , x s {\displaystyle x_{1},\dots ,x_{s}} in G {\displaystyle G} such that every x {\displaystyle x} in G {\displaystyle G} can be written in the form x = n 1 x 1 + n 2 x 2...
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