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Lower degree bounds for modular vector invariants


Author: Ugur Madran
Journal: Proc. Amer. Math. Soc. 135 (2007), 987-995
MSC (2000): Primary 13A50
DOI: https://doi.org/10.1090/S0002-9939-06-08574-1
Published electronically: October 11, 2006
MathSciNet review: 2262898
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Abstract | References | Similar Articles | Additional Information

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


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Additional Information

Ugur Madran
Affiliation: Department of Mathematics, Bilkent University, Bilkent, 06800 Ankara, Turkey
Email: madran@fen.bilkent.edu.tr, madran@member.ams.org

DOI: https://doi.org/10.1090/S0002-9939-06-08574-1
Keywords: Modular invariant theory, vector invariants, degree bound
Received by editor(s): September 9, 2005
Received by editor(s) in revised form: November 11, 2005
Published electronically: October 11, 2006
Additional Notes: The author was supported in part by TÜBİTAK
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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