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Group actions on
polynomial and power series rings
Peter Symonds |
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Vol. 195 (2000), No. 1, 225–230
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Abstract |
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When a finite group G acts faithfully on a graded integral domain S which is an algebra over a field k, such as a polynomial ring, we consider S as a kG-module. We show that S is asymptotically mostly projective in each degree, and also that it is in fact mostly free in an appropriate sense. Similar results also hold for filtered algebras, such as power series rings. |
Milestones
Received: 13 October 1998
Published: 1 September 2000
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Authors |
| Peter Symonds | |
| Department of Mathematics U.M.I.S.T. Manchester M60 1QD England |
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