On separating a fixed point from zero by invariants

Elmer, Jonathan ORCID logoORCID: https://orcid.org/0000-0001-5296-1987 and Kohls, Martin (2017) On separating a fixed point from zero by invariants. Communications in Algebra, 45 (1) . pp. 371-375. ISSN 0092-7872 [Article] (doi:10.1080/00927872.2016.1175465)

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Assume a fixed point v in V^G can be separated from zero by a homogeneous invariant f ∈ k[V]^G of degree p^r d where p > 0 is the characteristic of the ground field k and p, d are coprime. We show that then v can also be separated from zero by an invariant of degree p^r , which we obtain explicitly from f . It follows that the minimal degree of a homogeneous invariant separating v from zero is a p-power.

Item Type: Article
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 20905
Notes on copyright: This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 11/10/2016, available online: http://www.tandfonline.com/10.1080/00927872.2016.1175465
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Depositing User: Jonathan Elmer
Date Deposited: 04 Nov 2016 14:14
Last Modified: 08 Jun 2022 08:12
URI: https://eprints.mdx.ac.uk/id/eprint/20905

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