Gröbner basis of the alternating Galoisian ideal

DOI10.1016/j.jsc.2010.10.013zbMath1213.13042OpenAlexW1990036869MaRDI QIDQ629348

Annick Valibouze

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.10.013

zbMATH Keywords

Galois groupalternating groupsplitting fieldGaloisian idealtriangular ideal

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (1)

Algebraic computation of resolvents without extraneous powers

Cites Work

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• A modular method for computing the Galois groups of polynomials
• Study of algebraic relations between the roots of a univariate polynomial
• Gröbner bases of Hilbert ideals of alternating groups
• Calcul de résolvantes avec les modules de Cauchy
• Multi-modular algorithm for computing the splitting field of a polynomial
• Using Galois ideals for computing relative resolvents

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