Computation of Galois groups of rational polynomials

DOI10.1112/S1461157013000302zbMath1326.11070arXiv1211.3588MaRDI QIDQ5170255

Claus Fieker, Jürgen Klüners

Publication date: 23 July 2014

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

Full work available at URL: https://arxiv.org/abs/1211.3588

zbMATH Keywords

computational Galois theory\(G\)-relative \(H\)-invariantStauduhar's method

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40) Galois theory and commutative ring extensions (13B05)

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Cites Work

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• Generating subfields
• Structure and finiteness properties of subdirect products of groups
• On Transitive Permutation Groups
• Calculs d'invariants primitifs de groupes finis
• A Database for Field Extensions of the Rationals
• Galois group computation for rational polynomials
• Explicit Galois realization of transitive groups of degree up to 15