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The Cohen–Macaulay and Gorenstein Properties of Rings Associated to Filtrations

✍ Scribed by Heinzer, William; Kim, Mee-Kyoung; Ulrich, Bernd

Book ID
111867894
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
315 KB
Volume
39
Category
Article
ISSN
0092-7872

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✍ Gregor Kemper 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 203 KB

If V is a faithful module for a finite group G over a field of characteristic p, then the ring of invariants need not be Cohen᎐Macaulay if p divides the order of G. In this article the cohomology of G is used to study the question of Cohen᎐Macaulayness of the invariant ring. One of the results is a