Double transitivity of Galois groups of trinomials

DOI10.4064/aa-82-1-1-15zbMath0893.11046OpenAlexW213347989MaRDI QIDQ4369677

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Publication date: 8 January 1998

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207075

zbMATH Keywords

primitive permutation groupstrinomialssymmetric groupinertia groupsdouble transitivity of Galois groups

Mathematics Subject Classification ID

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

Related Items (12)

Galois group of \(x^{p^{n}}+aX+a\) ⋮ Computing Galois groups of certain families of polynomials ⋮ Trinomial extensions of \(\mathbb Q\) with ramification conditions. ⋮ WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS ⋮ A degree problem for two algebraic numbers and their sum ⋮ Rational trinomials with the alternating group as Galois group ⋮ Galois groups of trinomials ⋮ Galois groups of doubly even octic polynomials ⋮ The Galois group of \(X^p+aX^{p - 1}+a\) ⋮ Riccati equations and polynomial dynamics over function fields ⋮ Dynamical Galois groups of trinomials and Odoni's conjecture ⋮ Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

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