**Problem**. Suppose is a finitely generated group and is any abelian normal subgroup of . Show that every can be written in the form for certain elements

**Solution**. It follows from the fact that for all we have

and

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Tags: commutators, finitely generated, groups

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**Problem**. Suppose is a finitely generated group and is any abelian normal subgroup of . Show that every can be written in the form for certain elements

**Solution**. It follows from the fact that for all we have

and

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