A constructive approach to Noether's problem
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Publication:1817359
DOI10.1007/BF02568311zbMath0865.12005MaRDI QIDQ1817359
Publication date: 20 July 1997
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/156198
orthogonal groupsspecial unitary groupsminimal basesNoether problempurely transcendental field extensionsconformal symplectic groupsinvariant field of a given finite linear groupsubgroups of orthogonal groups
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Rationality problem for transitive subgroups of \(S_8\) ⋮ Finite groups of essential dimension one ⋮ The finite irreducible linear groups with polynomial ring of invariants ⋮ Rational invariants for subgroups of \(S_5\) and \(S_7\) ⋮ Estimation under group actions: recovering orbits from invariants ⋮ Rationality problem of three-dimensional monomial group actions ⋮ Noether's problem for \(\text{GL}(2, 3)\) ⋮ Generic polynomials with few parameters ⋮ Algebraic independence in positive characteristic: A $p$-adic calculus ⋮ Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups ⋮ Geometric generalization of Gaussian period relations with application in Noether's problem for meta-cyclic groups ⋮ Degree three unramified cohomology groups and Noether's problem for groups of order 243 ⋮ On generic polynomials for the modular 2-groups
Uses Software
Cites Work
- Invariants of finite groups generated by pseudo-reflections in positive characteristic
- Calculating invariant rings of finite groups over arbitrary fields
- Invariants of finite groups and their applications to combinatorics
- Rational Invariants of certain Orthogonal and Unitary Groups
- Minimalbasis der Quaternionengruppe
- Invariants of Certain Groups I
- Finite Unitary Reflection Groups
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