The Noether numbers for cyclic groups of prime order

DOI10.1016/j.aim.2005.11.009zbMath1111.13004arXivmath/0508075OpenAlexW2078407903MaRDI QIDQ855770

Chris Woodcock, Müfit Sezer, R. James Shank, Peter Fleischmann

Publication date: 7 December 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508075

zbMATH Keywords

invariant theorydegree boundsNoether numbers

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (14)

Symmetric powers and modular invariants of elementary abelian \(p\)-groups ⋮ Explicit separating invariants for cyclic \(P\)-groups. ⋮ Coinvariants and the regular representation of a cyclic \(P\)-group ⋮ Galois ring extensions and localized modular rings of invariants of \(p\)-groups ⋮ The invariants of modular indecomposable representations of \({\mathbb Z}_{p^2}\) ⋮ Decomposing modular coinvariants ⋮ A note on the Hilbert ideals of a cyclic group of prime order ⋮ ON SOME STANDARD GRADED ALGEBRAS IN MODULAR INVARIANT THEORY ⋮ Constructing modular separating invariants ⋮ Rings of invariants for modular representations of the Klein four group ⋮ The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics ⋮ Poincaré duality in modular coinvariant rings ⋮ Degree bounds for modular covariants ⋮ Gröbner bases for the Hilbert ideal and coinvariants of the dihedral groupD_2p

Uses Software

• Magma

Cites Work

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• Symmetric powers of modular representations, hilbert series and degree bounds
• The Noether bound in invariant theory of finite groups

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