Geodesic
On the Gorenstein property of the ring of invariants of a~Gorenstein ring
Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 47-53.

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In this paper we give necessary and sufficient conditions allowing us to tell whether or not the ring of invariants of a Gorenstein ring is Gorenstein. Bibliography: 8 titles. 
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V. A. Khinich. On the Gorenstein property of the ring of invariants of a~Gorenstein ring. Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 47-53. http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a2/

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[2] Hochster M., Eagon J. A., “Cohen-Macaulay Rings, Invariant Theory and the Generic Perfection of Determinantal Loci”, Amer. J. Math., 93:4 (1971), 1020–1056 | DOI | MR

[3] Raynand M., Anneaux locaux henséliennes, Springer Lecture Notes in Mathematics, 169, 1971

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[5] Singh B., “Invariants of finite group acting on local $UFD$”, Journal of the Indian Mathematical Society, 34 (1970), 31–38 | MR

[6] Watanabe K., “Certain invariant subrings are Gorenstein. I”, Osaka Journal of Mathematics, 11 (1974), 1–8 | MR | Zbl

[7] Watanabe K., “Certain invariant subrings are Gorenstein. II”, Osaka Journal of Mathematics, 11 (1974), 379–388 | MR | Zbl

[8] Watanabe K., Ishikawa T., Tachibana S., Otsuka K., “On tensor product of Gorenstein rings”, Journal of Mathematics of Kyoto University, 9:3 (1969), 413–424 | MR