Galois groups of certain even octic polynomials

DOI10.1142/s0219498823502638arXiv2210.10257OpenAlexW4293833082MaRDI QIDQ6087904

Unnamed Author, Ta Sheng Tan, Angelina Yan Mui Chin

Publication date: 16 November 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10257

zbMATH Keywords

Galois groupsarithmetic conditionsfactorization patternslinear resolventoctic polynomialspower compositional polynomials

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials in real and complex fields: factorization (12D05) Polynomials (irreducibility, etc.) (11R09) Computational methods for problems pertaining to field theory (12-08)

Cites Work

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• AN INFINITE FAMILY OF NINTH DEGREE DIHEDRAL POLYNOMIALS
• The Determination of Galois Groups
• Galois groups of doubly even octic polynomials
• Galois Groups of Even Sextic Polynomials
• The irreducibility of power compositional sextic polynomials and their Galois groups
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