Field extensions defined by power compositional polynomials

DOI10.35834/2021/3302163zbMath1486.12004OpenAlexW3215744144MaRDI QIDQ2116688

Chad Awtrey, James R. Beuerle, Hanna Noelle Griesbach

Publication date: 18 March 2022

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.35834/2021/3302163

zbMATH Keywords

Galois groupsKummer theoryautomorphismsroots of unityradical extensionssextic extensionspower compositional

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic field extensions (12F05) Subgroups of symmetric groups (20B35) Computational methods for problems pertaining to field theory (12-08)

Uses Software

• GAP

Cites Work

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• Centralizers of transitive permutation groups and applications to Galois theory
• Octic 2-adic fields
• Quartic fields and radical extensions.
• Generating subfields
• Cubic Fields and Radical Extensions
• An Elementary Test for the Galois Group of a Quartic Polynomial
• The transitive groups of degree up to eleven⁺
• On Invariant Polynomials and Their Application in Field Theory
• Galois Groups of Even Sextic Polynomials
• The irreducibility of power compositional sextic polynomials and their Galois groups

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