Invariants for the computation of intransitive and transitive Galois groups

DOI10.1016/j.jsc.2011.11.006zbMath1257.12006OpenAlexW2037628886MaRDI QIDQ765862

Andreas-Stephan Elsenhans

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.11.006

zbMATH Keywords

algorithmGalois grouprepresentation theoryinvariant polynomialintransitive subgroup

Mathematics Subject Classification ID

Related Items (6)

Computation of Galois Groups in magma ⋮ Unnamed Item ⋮ Improved methods for the construction of relative invariants for permutation groups ⋮ Computation of Galois groups of rational polynomials ⋮ A Note on Short Cosets ⋮ Computing Galois groups of polynomials (especially over function fields of prime characteristic)

Uses Software

• Magma

Cites Work

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• Minimizing representations over number fields. II: Computations in the Brauer group.
• The Magma algebra system. I: The user language
• Constructing transitive permutation groups.
• Computing maximal subgroups of finite groups.
• On the Brauer-Manin obstruction for cubic surfaces
• The Transitive Permutation Groups of Degree 32
• On Invariant Polynomials and Their Application in Field Theory
• The Determination of Galois Groups
• CUBIC SURFACES WITH A GALOIS INVARIANT PAIR OF STEINER TRIHEDRA
• Endliche Gruppen I
• Algorithms in invariant theory
• Galois group computation for rational polynomials

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