Geodesic
Some Rings of Invariants that are Cohen-Macaulay
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 238-240

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Let be a representation of the finite group G over the field . If the order |G| of G is relatively prime to the characteristic of or n = 1 or 2, then it is known that the ring of invariants is Cohen-Macaulay. There are examples to show that need not be Cohen-Macaulay when |G| is divisible by the characteristic of . In all such examples is at least 4. In this note we fill the gap between these results and show that rings of invariants in three variables are always Cohen-Macaulay.
DOI : 10.4153/CMB-1996-030-2
Mots-clés : 13B99 
Smith, Larry. Some Rings of Invariants that are Cohen-Macaulay. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 238-240. doi: 10.4153/CMB-1996-030-2
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