The finiteness theorem for invariants of a finite group (translation of Emmy Noether's "Der Endlichkeitsatz der Invarianten endlicher Gruppen")

A translation of Emmy Noether’s paper “Der Endlichkeitsatz der Invarianten endlicher Gruppen” (Mathematische Annalen, vol. 77, 1920, pages 89–92). In Noether’s words, the paper gives “an entirely elementary finiteness proof—using only the theory of symmetric functions—for the invariants of a finite group, which at once supplies an actual statement of a complete system of invariants while the usual proof using the Hilbert basis theorem is only an existence proof.”