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The Cohen–Macaulay property of separating invariants of finite groups

✍ Scribed by Emilie Dufresne; Jonathan Elmer; Martin Kohls

Publisher
SP Birkhäuser Verlag Boston
Year
2009
Tongue
English
Weight
363 KB
Volume
14
Category
Article
ISSN
1083-4362

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📜 SIMILAR VOLUMES

On the Cohen–Macaulay Property of Modula
On the Cohen–Macaulay Property of Modular Invariant Rings
✍ 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