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Depth of modular invariant rings

Campbell, Eddy, Hughes, I.P., Kemper, Gregor, Shank, R. James, Wehlau, David L. (2000) Depth of modular invariant rings. Transformation Groups, 5 (1). pp. 21-34. ISSN 1083-4362. (doi:10.1007/BF01237176) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:16209)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/BF01237176

Abstract

It is well-known that the ring of invariants associated to a nea-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation. For modular representations the ring of invariants usually fails to be Cohen-Macaulay and computing the depth is often very difficult. In this paper(1) we obtain a simple formula for the depth of the ring of invariants for a family of modular representations. This family includes all modular representations of cyclic groups. Tn particular, we obtain an elementary proof of the celebrated theorem of Ellingsrud and Skjelbred [6].

Item Type: Article
DOI/Identification number: 10.1007/BF01237176
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: P. Ogbuji
Date Deposited: 24 Jun 2009 10:51 UTC
Last Modified: 06 May 2020 03:03 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/16209 (The current URI for this page, for reference purposes)
Shank, R. James: https://orcid.org/0000-0002-3317-4088
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