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. | |

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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | P. Ogbuji |

Date Deposited: | 24 Jun 2009 10:51 UTC |

Last Modified: | 16 Nov 2021 09:54 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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