Explicit Galois realization of transitive groups of degree up to 15

DOI10.1006/jsco.2000.0378zbMath0967.12004OpenAlexW2037532705MaRDI QIDQ5927990

Jürgen Klüners, Gunter Malle

Publication date: 19 March 2001

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

Full work available at URL: https://semanticscholar.org/paper/36c3dc3e1d00a416469f60934db765c4c75b177b

zbMATH Keywords

explicit polynomialsinverse Galois theorypermutation groups

Mathematics Subject Classification ID

Related Items (16)

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Uses Software

• KANT/KASH

Cites Work

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• On the computation of resolvents and Galois groups
• Realisierung von Gruppen \(PSL_ 2({\mathbb{F}}_ p)\) als Galoisgruppen über \({\mathbb{Q}}\)
• Polynomials for primitive nonsolvable permutation groups of degree d\(\leq 15\)
• Factoring polynomials with rational coefficients
• On computing subfields. A detailed description of the algorithm
• KANT V4
• On computing subfields
• Approximating rings of integers in number fields
• Subgroups of \(\text{Hol} Q_ 8\) as Galois groups
• On Transitive Permutation Groups
• Computing automorphisms of abelian number fields
• Galois group computation for rational polynomials

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