Lower degree bounds for modular vector invariants
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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.References
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Additional Information
- Uğur Madran
- Affiliation: Department of Mathematics, Bilkent University, Bilkent, 06800 Ankara, Turkey
- Email: madran@fen.bilkent.edu.tr, madran@member.ams.org
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 987-995
- MSC (2000): Primary 13A50
- DOI: https://doi.org/10.1090/S0002-9939-06-08574-1
- MathSciNet review: 2262898