Homomorphisms, localizations and a new algorithm to construct invariant rings of finite groups

DOI10.1016/j.jalgebra.2005.06.038zbMath1128.13002OpenAlexW1976401565MaRDI QIDQ875098

Gregor Kemper, Chris Woodcock, Peter Fleischmann

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.06.038

zbMATH Keywords

localizationtransfer mapdegree boundsconductor idealcomputational algebramodular invariant theoryintegral extensions

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50)

Related Items (4)

Estimation under group actions: recovering orbits from invariants ⋮ Galois ring extensions and localized modular rings of invariants of \(p\)-groups ⋮ Computation of invariants of finite abelian groups ⋮ The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic

Cites Work

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• Invariants of finite groups over fields of characteristic \(p\)
• Explicit generators of the invariants of finite groups
• Cohomology of modules in the principal block of a finite group
• Computing bases for rings of permutation-invariant polynomials
• On Noether’s bound for polynomial invariants of a finite group
• Lifting standard bases in filtered structures
• A new degree bound for vector invariants of symmetric groups
• On the Depth of Cohomology Modules
• The Noether bound in invariant theory of finite groups

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