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A note on the hilbertfunction of a one-dimensional Cohen-Macaulay ring

✍ Scribed by Jürgen Herzog; Rolf Waldi


Publisher
Springer
Year
1975
Tongue
English
Weight
315 KB
Volume
16
Category
Article
ISSN
0025-2611

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On the Cohen–Macaulay Property of Modula
✍ 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