The Galois groups of the polynomials \(x^ n+ax^ s+b\). II

DOI10.2748/tmj/1178228289zbMath0615.12012OpenAlexW2046083530MaRDI QIDQ1820817

Hiroyuki Osada

Publication date: 1987

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228289

zbMATH Keywords

symmetric groupGalois group of polynomialprescribed Galois groupGalois group isomorphic to \(A_ n\)Galois group isomorphic to \(S_ n\)

Mathematics Subject Classification ID

Galois theory (11R32) Representations of groups as automorphism groups of algebraic systems (20F29) Polynomials (irreducibility, etc.) (11R09)

Related Items (9)

Counting the number of distinct real roots of certain polynomials by Bezoutian and the Galois groups over the rational number field ⋮ Monogenic reciprocal trinomials and their Galois groups ⋮ Infinite families of monogenic trinomials and their Galois groups ⋮ Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices ⋮ Galois group of \(x^{p^{n}}+aX+a\) ⋮ Computing Galois groups of certain families of polynomials ⋮ WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS ⋮ Rational trinomials with the alternating group as Galois group ⋮ Galois groups of trinomials

Cites Work

• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
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