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On the non-existence of small Cohen–Macaulay algebras

✍ Scribed by Bhatt, Bhargav


Book ID
122231002
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
274 KB
Volume
411
Category
Article
ISSN
0021-8693

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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