On the branch locus of quotients by finite groups and the depth of the algebra of invariants

DOI10.1016/S0021-8693(02)00572-0zbMath1024.13001MaRDI QIDQ1409741

Nikolai Gordeev, Gregor Kemper

Publication date: 22 October 2003

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

zbMATH Keywords

characteristic \(p\)depthalgebra of invariantscodimension of the branch locus

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

When are permutation invariants Cohen-Macaulay over all fields? ⋮ On the depth of invariant rings of infinite groups ⋮ Non-Cohen-Macaulay invariant rings of infinite groups ⋮ On the Cohen-Macaulay property of multiplicative invariants ⋮ A rotation group whose subspace arrangement is not from a real reflection group

Cites Work

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• Invariants of linear groups generated by matrices with two nonunit eigenvalues
• Fixed rings of finite automorphism groups of associative rings
• On the Cohen-Macaulay property of modular invariant rings
• Depth of modular invariant rings
• On Ramification Theory in Noetherian Rings
• The Brauer Group of a Commutative Ring
• Finite linear groups whose ring of invariants is a complete intersection
• Differentials of a symmetric generic determinantal singularity
• On Cohen-Macaulay rings of invariants
• The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair

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