The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair

DOI10.1006/jabr.2001.8840zbMath1031.13002OpenAlexW2004261989MaRDI QIDQ5958873

Gregor Kemper

Publication date: 17 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8840

zbMATH Keywords

Buchsbaum propertydepth of invariant ringsfinite group acting on a vector spaceflat action of group on vector space

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

When are permutation invariants Cohen-Macaulay over all fields? ⋮ On the depth of invariant rings of infinite groups ⋮ The Hilbert scheme of points for supersingular abelian surfaces ⋮ Non-Cohen-Macaulay invariant rings of infinite groups ⋮ On the branch locus of quotients by finite groups and the depth of the algebra of invariants ⋮ On the depth of separating algebras for finite groups ⋮ On the Cohen-Macaulay property of multiplicative invariants ⋮ Symmetric powers of modular representations for groups with a Sylow subgroup of prime order ⋮ Depth and cohomological connectivity in modular invariant theory ⋮ Depth and detection in modular invariant theory ⋮ Computing modular invariants of \(p\)-groups. ⋮ \(F\)-rationality of the ring of modular invariants

Uses Software

• Magma

Cites Work

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