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arXiv · 1503.07849

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

Colin McLarty
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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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Colin McLarty. 2015-03-22. The finiteness theorem for invariants of a finite group (translation of Emmy Noether's "Der Endlichkeitsatz der Invarianten endlicher Gruppen"). https://arxiv.org/abs/1503.07849

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