Degree bounds for modular covariants
Date
2020
Authors
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Source Title
Forum Mathematicum
Print ISSN
0933-7741
Electronic ISSN
1435-5337
Publisher
De Gruyter
Volume
32
Issue
4
Pages
905 - 910
Language
English
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Abstract
Let V, W be representations of a cyclic group G of prime order p over a field k of characteristic p. The module of covariants k[V, W]G is the set of G-equivariant polynomial maps V → W, and is a module over k[V ]G. We give a formula for the Noether bound β(k[V, W]G, k[V ]G), i.e. the minimal degree d such that k[V, W]G is generated over k[V ]G by elements of degree at most d