Symmetric powers of modular representations, hilbert series and degree bounds
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Publication:4953308
DOI10.1080/00927870008826944zbMath0965.13004OpenAlexW2042325565MaRDI QIDQ4953308
Publication date: 16 July 2001
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870008826944
Modular representations and characters (20C20) Actions of groups on commutative rings; invariant theory (13A50)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On vector invariants over finite fields
- Lambda and psi operations on Green rings
- p-subgroups of compact Lie groups and torsion of infinite height in H*(BG). II
- Representations of Z/pZ in characteristic p and reciprocity theorems
- Some formulas in invariant theory
- S. A. G. B. I. bases for rings of formal modular seminvariants
- Vector invariants of \(U_ 2(\mathbb{F}_ p)\): A proof of a conjecture of Richman
- The Magma algebra system. I: The user language
- Invariants of finite groups and their applications to combinatorics