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

2015/03/22 by Colin McLarty, McLarty, Colin
Mathematics · #01Axx #20B05 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #History and Overview (math.HO)

paper · pdf · doi:10.48550/arxiv.1503.07849

openalex publication_date 2015/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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."

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