On Cohen-Macaulay rings of invariants

DOI10.1006/jabr.2001.8900zbMath1002.13003arXivmath/0012201OpenAlexW2090449432MaRDI QIDQ5958863

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Publication date: 9 January 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012201

zbMATH Keywords

invariant ringsbireflectionsCohen-Macaulay property

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Cohen-Macaulay modules (13C14)

Related Items (8)

When are permutation invariants Cohen-Macaulay over all fields? ⋮ Group actions on rings and the Čech complex ⋮ On the branch locus of quotients by finite groups and the depth of the algebra of invariants ⋮ On the Cohen-Macaulay property of multiplicative invariants ⋮ Invariants of modular groups ⋮ Depth and cohomological connectivity in modular invariant theory ⋮ A rotation group whose subspace arrangement is not from a real reflection group ⋮ Depth and detection in modular invariant theory

Cites Work

• The splitting data of cohomology classes
• Invariants of finite Abelian groups generated by transvections
• On the Cohen-Macaulay property of modular invariant rings
• Cohomology of modules in the principal block of a finite group
• Class groups of multiplicative invariants
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Multiplicative invariants and semigroup algebras
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