The Galois groups of the polynomials \(X^ n+aX\ell +b\)
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Publication:1086288
DOI10.1016/0022-314X(87)90029-1zbMath0608.12010MaRDI QIDQ1086288
Publication date: 1987
Published in: Journal of Number Theory (Search for Journal in Brave)
Related Items (31)
Note on the class-number of the maximal real subfield of a cyclotomic field ⋮ The Galois group of \(x^{n}-x^{n-1}-\cdots-x-1\) ⋮ On the Galois group of three classes of trinomials ⋮ Loop vertex expansion for higher-order interactions ⋮ Counting the number of distinct real roots of certain polynomials by Bezoutian and the Galois groups over the rational number field ⋮ Counting squarefree discriminants of trinomials under abc ⋮ Binary forms and orders of algebraic number fields ⋮ Monogenic reciprocal trinomials and their Galois groups ⋮ Power integral bases for Selmer-like number fields ⋮ Infinite families of monogenic trinomials and their Galois groups ⋮ Bertini and Northcott ⋮ On the Galois groups of some recursive polynomials ⋮ Squarefree values of trinomial discriminants ⋮ Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices ⋮ Simple complex tori of algebraic dimension 0 ⋮ On -unramified extensions over imaginary quadratic fields ⋮ On certain infinite extensions of the rationals with Northcott property ⋮ Computing Galois groups of certain families of polynomials ⋮ On the Splitting Field of Some Polynomials with Class Number One ⋮ Further results on an abstract model for branching and its application to mixed integer programming ⋮ On a Question of Zannier ⋮ Galois groups of trinomials ⋮ On shifted Eisenstein polynomials ⋮ Galois groups of Taylor polynomials of some elementary functions ⋮ Dynamical Galois groups of trinomials and Odoni's conjecture ⋮ The Galois groups of the polynomials \(x^ n+ax^ s+b\). II ⋮ On cyclotomic elements and cyclotomic subgroups in $K_{2}$ of a field ⋮ An effective version of the primitive element theorem ⋮ Cake cutting: explicit examples for impossibility results ⋮ Nonsymmetric generic matrix equations ⋮ Galois groups of Mori trinomials and hyperelliptic curves with big monodromy
Cites Work
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- On unramified Galois extensions of real quadratic number fields
- Unramified extensions of quadratic number fields. II
- On unramified Galois extensions of quadratic number fields
- On the irreducibility of certain trinomials
- Discriminants of number fields defined by trinomials
- Note on a Paper of S. Uchiyama
- On Two Conjectures of Chowla
- On a conjecture of K. S. Williams
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