Rings of invariants for modular representations of the Klein four group

Sezer, Müfit and Shank, R. James (2016) Rings of invariants for modular representations of the Klein four group. Transactions of the American Mathematical Society, 368 . pp. 5655-5673. ISSN 0002-9947. E-ISSN 1088-6850. (doi:https://doi.org/10.1090/tran/6516) (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)

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http://dx.doi.org/10.1090/tran/6516

Abstract

We study the rings of invariants for the indecomposable modular representations of the Klein four group. For each such representation we compute the Noether number and give minimal generating sets for the Hilbert ideal and the field of fractions. We observe that, with the exception of the regular representation, the Hilbert ideal for each of these representations is a complete intersection.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: R James Shank
Date Deposited: 13 Oct 2016 10:25 UTC
Last Modified: 14 Nov 2016 14:06 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/57874 (The current URI for this page, for reference purposes)
Shank, R. James: https://orcid.org/0000-0002-3317-4088

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