Calculating invariant rings of finite groups over arbitrary fields
From MaRDI portal
Publication:2563697
DOI10.1006/jsco.1996.0017zbMath0889.13004OpenAlexW2077147784MaRDI QIDQ2563697
Publication date: 6 February 1997
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/c0ff144ca22873344ebcaf6058cdd751cf989c92
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50)
Related Items (45)
Calculs d'invariants primitifs de groupes finis ⋮ Invariants of hyperplane groups and vanishing ideals of finite sets of points ⋮ The transvection free groups with polynomial rings of invariants ⋮ Solving a system of algebraic equations with symmetries ⋮ The finite irreducible linear groups with polynomial ring of invariants ⋮ Invariant \(\mathrm G^2\mathrm V\) algorithm for computing SAGBI-Gröbner bases ⋮ Lower degree bounds for modular invariants and a question of I. Hughes ⋮ Automorphism groups and invariant theory on ℙN ⋮ On modular invariants of a vector and a covector ⋮ An algorithm for computing invariants of linear actions of algebraic groups up to a given degree. ⋮ The Gorenstein property for modular binary forms invariants ⋮ Galois ring extensions and localized modular rings of invariants of \(p\)-groups ⋮ Separating invariants for arbitrary linear actions of the additive group ⋮ Polynomial bounds for rings of invariants ⋮ Modular quotient varieties and singularities by the cyclic group of order 2p ⋮ The ``smallest ring of polynomial invariants of a permutation group which has no finite SAGBI bases w. r. t. any admissible order ⋮ Depth of modular invariant rings ⋮ Using extended Derksen ideals in computational invariant theory ⋮ Polynomial invariants of finite groups. A survey of recent developments ⋮ Modular invariants of finite affine linear groups ⋮ Bases for rings of coinvariants ⋮ Computing invariants of algebraic groups in arbitrary characteristic ⋮ The Noether bound in invariant theory of finite groups ⋮ A gluing construction for polynomial invariants ⋮ On the invariants of root subgroups of finite classical groups ⋮ Jacobians of reflection groups ⋮ ON SOME STANDARD GRADED ALGEBRAS IN MODULAR INVARIANT THEORY ⋮ Transvection free groups and invariants of polynomial tensor exterior algebras ⋮ The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair ⋮ Vector invariants for two-dimensional orthogonal groups over finite fields ⋮ Rational invariants of certain classical groups over finite fields ⋮ Depth and detection in modular invariant theory ⋮ The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic ⋮ Gröbner bases, invariant theory and equivariant dynamics ⋮ Polynomial Invariants of Certain Pseudo-Symplectic Groups Over Finite Fields of Characteristic Two ⋮ A constructive approach to Noether's problem ⋮ The cohomology of the Lyons group and double covers of alternating groups ⋮ Vector invariant fields of finite classical groups ⋮ Arithmetic invariants of pseudoreflection groups and regular graded algebras ⋮ \(p\)-groups and the polynomial ring of invariants question ⋮ On the Cohen-Macaulay property of modular invariant rings ⋮ Computer algebra and algebraic geometry -- achievements and perspectives ⋮ On the depth of the invariants of the symmetric power representations of \(SL_2(\mathbb{F}_p)\) ⋮ A Database of Invariant Rings ⋮ On Invariants of Some Maximal Subgroups of Finite Classical Groups
Uses Software
This page was built for publication: Calculating invariant rings of finite groups over arbitrary fields