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When the positivity of the\(h\)-vector implies the Cohen-Macaulay property

✍ Scribed by Cioffi, F.; Di Gennaro, R.


Book ID
121585868
Publisher
Springer Milan
Year
2013
Tongue
Italian
Weight
258 KB
Volume
63
Category
Article
ISSN
0035-5038

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📜 SIMILAR VOLUMES


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