Computation of invariants of finite abelian groups

DOI10.1090/mcom/3076zbMath1361.13005OpenAlexW2464139764MaRDI QIDQ5741502

Evelyne Hubert, George Labahn

Publication date: 25 July 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00921905/file/HubertLabahnAbelian3.pdf

zbMATH Keywords

finite groupsmatrix normal formrational invariantsconstructive Noether's problempolynomial system reduction

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Solving polynomial systems; resultants (13P15)

Related Items

Algorithms for fundamental invariants and equivariants of finite groups, Symmetry in multivariate ideal interpolation, Estimation under group actions: recovering orbits from invariants, Minimal degrees of invariants of (super)groups – a connection to cryptology, Rational invariants of even ternary forms under the orthogonal group, Multivariate interpolation: preserving and exploiting symmetry, A fast algorithm for computing the Smith normal form with multipliers for a nonsingular integer matrix, Computing critical points for invariant algebraic systems, Degree bound for separating invariants of abelian groups

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