Galois groups of trinomials

DOI10.1006/jabr.1999.8033zbMath0939.12002OpenAlexW2066900454MaRDI QIDQ5918020

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Publication date: 8 May 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8033

zbMATH Keywords

Galois groupirreducible trinomial with integral coefficients

Mathematics Subject Classification ID

Inverse Galois theory (12F12)

Related Items (11)

On the Galois group of three classes of trinomials ⋮ On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems ⋮ Monogenic reciprocal trinomials and their Galois groups ⋮ Infinite families of monogenic trinomials and their Galois groups ⋮ Galois group of \(x^{p^{n}}+aX+a\) ⋮ Computing Galois groups of certain families of polynomials ⋮ WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS ⋮ Galois groups of doubly even octic polynomials ⋮ The Galois group of \(X^p+aX^{p - 1}+a\) ⋮ Dynamical Galois groups of trinomials and Odoni's conjecture ⋮ On quadratic fields generated by discriminants of irreducible trinomials

Cites Work

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• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
• Factorization of polynomials over finite fields
• The Galois groups of the polynomials \(x^ n+ax^ s+b\). II
• Some Primitive Permutation Groups
• Galois theory on the line in nonzero characteristic
• Doubly Transitive But not Doubly Primitive Permutation Groups II
• The theorem of Marggraff on primitive permutation groups which contain a cycle
• Double transitivity of Galois groups of trinomials
• The Primitivity of the Galois Group of a Trinomial

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