DETERMINING GALOIS GROUPS OF REDUCIBLE POLYNOMIALS VIA DISCRIMINANTS AND LINEAR RESOLVENTS

DOI10.17654/NT039050685zbMath1499.11342OpenAlexW2763705969MaRDI QIDQ5075057

Peter Jakes, Chad Awtrey, Taylor Cesarski

Publication date: 10 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt039050685

zbMATH Keywords

Galois groupsdiscriminantsreducible polynomialslinear resolvents

Mathematics Subject Classification ID

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

Uses Software

• GAP
• Magma
• PARI/GP

Cites Work

• Computing Galois groups over the rationals
• The Magma algebra system. I: The user language
• Generating subfields
• Computing Galois groups of polynomials (especially over function fields of prime characteristic)
• The Determination of Galois Groups
• Unnamed Item

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