Skip to main content

# The relative trace ideal and the depth of modular rings of invariants

Fleischmann, Peter, Shank, R. James (2003) The relative trace ideal and the depth of modular rings of invariants. Archiv der Mathematik, 80 (4). pp. 347-353. ISSN 1420-8938. (doi:10.1007/s00013-003-0794-0) (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:4651)

 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 URLhttps://doi.org/10.1007/s00013-003-0794-0

## Abstract

We prove that for a modular representation, the depth of the ring of invariants is the sum of the dimension of the fixed point space of the p-Sylow subgroup and the grade of the relative trace ideal. We also determine which of the Dickson invariants lie in the radical of the relative trace ideal and we describe how to use the Dickson invariants to compute the grade of the relative trace ideal.

Item Type: Article 10.1007/s00013-003-0794-0 Q Science > QA Mathematics (inc Computing science) Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science James Shank 05 Sep 2008 10:58 UTC 16 Nov 2021 09:42 UTC https://kar.kent.ac.uk/id/eprint/4651 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-3317-4088
• Depositors only (login required):