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Lower degree bounds for modular vector invariants

Authors:	Ugur Madran

Institution:	Department of Mathematics, Bilkent University, Bilkent, 06800 Ankara, Turkey

Abstract:	Let be a finite group of order divisible by a prime acting on an $\mathbb{F}$ vector space where $\mathbb{F}$ is the field with elements and $\dim_{\mathbb{F}} V=n$ . Consider the diagonal action of on copies of This note sharpens a lower bound for $\beta(\mathbb{F}\oplus_mV]^G)$ for groups which have an element of order whose Jordan blocks have sizes at most 2.

Keywords:	Modular invariant theory vector invariants degree bound

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