Galois group of \(x^{p^{n}}+aX+a\)

DOI10.1216/rmj.2023.53.11zbMath1528.11118OpenAlexW4376056466MaRDI QIDQ6158186

Boualem Benseba, Soufyane Mokhtari

Publication date: 31 May 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-1/GALOIS-GROUP-OF-XpnaXa/10.1216/rmj.2023.53.11.full

zbMATH Keywords

Galois groupNewton polygonsramificationdoubly transitive groupsEisenstein trinomials

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Ramification and extension theory (11S15) Special polynomials in general fields (12E10)

Cites Work

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• A note on primitive permutation groups of prime power degree.
• On the Galois group of \(x^ p+ax+a=0\)
• On the Galois group of \(x^ p + p^ tb(x+1) = 0\)
• The Galois groups of the polynomials \(x^ n+ax^ s+b\). II
• Galois group of \(X^ p+ aX+a\)
• Unramified extensions of quadratic number fields. II
• The Galois group of X^p+aX^s+a
• Discriminants of number fields defined by trinomials
• Galois theory on the line in nonzero characteristic
• Discriminants of certain algebraic number fields.
• Double transitivity of Galois groups of trinomials
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
• Factorization over local fields and the irreducibility of generalized difference polynomials
• WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS
• Galois groups of trinomials

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