Therefore there are finitely generated groups that cannot be recursively presented.

The concept of finitely generated space is related to this notion.

These are the finitely generated modules whose support has dimension at most 0.

Let M be a finitely generated module over a local ring.

Let k be a field and A finitely generated k-algebra.

The group of non-zero rational numbers is also not finitely generated.

This is a key step in the classification of finitely generated abelian groups.

Several useful results follow immediately from working with finitely generated abelian groups.

It is much more difficult to construct finitely generated infinite simple groups.

In 1971 he conjectured that every finitely generated group is accessible.