Computing Galois groups of polynomials (especially over function fields of prime characteristic)

DOI10.1016/j.jsc.2014.09.043zbMath1393.11073OpenAlexW2039291648MaRDI QIDQ2348291

Nicole Sutherland

Publication date: 11 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2014.09.043

zbMATH Keywords

function fieldsGalois groups

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40)

Related Items (4)

DETERMINING GALOIS GROUPS OF REDUCIBLE POLYNOMIALS VIA DISCRIMINANTS AND LINEAR RESOLVENTS ⋮ Galois groups over rational function fields and explicit Hilbert irreducibility ⋮ ALGORITHMS FOR GALOIS EXTENSIONS OF GLOBAL FUNCTION FIELDS ⋮ Computing splitting fields using Galois theory and other Galois constructions

Uses Software

• GAP
• Magma

Cites Work

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• Fast recognition of alternating and symmetric Galois groups
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• Computing maximal subgroups of finite groups.
• Computational verification of M₁₁and M₁₂as galois groups over Q
• Computation of Galois groups over function fields
• The Transitive Permutation Groups of Degree 32
• Symmetric Functions, m-Sets, and Galois Groups
• The Determination of Galois Groups
• Computation of Galois groups of rational polynomials
• Generating subfields
• A Note on Short Cosets
• Galois group computation for rational polynomials

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