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A translation of Emmy Noether's paper "Der Endlichkeitsatz der Invariantenendlicher Gruppen" (Mathematische Annalen, vol. 77, 1920, pages 89--92). InNoether's words, the paper gives "an entirely elementary finitenessproof---using only the theory of symmetric functions---for the invariants of afinite group, which at once supplies an actual statement of a complete systemof invariants while the usual proof using the Hilbert basis theorem is only anexistence proof."

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