Realising wreath products of cyclic groups as Galois groups

DOI10.1112/S002557930000632XzbMath0662.12010MaRDI QIDQ3812342

R. W. K. Odoni

Publication date: 1988

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

Galois groupHilbertian fieldinverse problem of Galois theorywreath products of cyclic groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois theory (11R32) Inverse Galois theory (12F12) Representations of groups as automorphism groups of algebraic systems (20F29) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (14)

Galois groups of tamely ramified \(p\)-extensions ⋮ \(ABC\) implies a Zsigmondy principle for ramification ⋮ Survey lecture on arithmetic dynamics ⋮ An iterative construction of irreducible polynomials reducible modulo every prime ⋮ Abelian extensions in dynamical Galois theory ⋮ Arboreal Representations for Rational Maps with Few Critical Points ⋮ Finite index theorems for iterated Galois groups of cubic polynomials ⋮ Galois group over \(\mathbb{Q}\) of some iterated polynomials ⋮ On the irreducibility of the iterates of 𝑥ⁿ-𝑏 ⋮ On Stoll's criterion for the maximality of quadratic arboreal Galois representations ⋮ Arboreal Galois representation for a certain type of quadratic polynomials ⋮ Supersingular parameters of the Deuring normal form ⋮ Current trends and open problems in arithmetic dynamics ⋮ A question for iterated Galois groups in arithmetic dynamics

Cites Work

• Separably Hilbertian fields
• The Galois Theory of Iterates and Composites of Polynomials

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