  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."
