On Stoll's criterion for the maximality of quadratic arboreal Galois representations

DOI10.1007/S00013-021-01609-WzbMath1481.37110OpenAlexW3152848099MaRDI QIDQ2041993

Hua-Chieh Li

Publication date: 26 July 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01609-w

zbMATH Keywords

automorphism groupwreath productarboreal Galois representation

Mathematics Subject Classification ID

Galois theory (11R32) Congruences; primitive roots; residue systems (11A07) Polynomials (irreducibility, etc.) (11R09) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Cites Work

• Galois group over \(\mathbb{Q}\) of some iterated polynomials
• Arboreal Galois representation for a certain type of quadratic polynomials
• ABC implies primitive prime divisors in arithmetic dynamics
• On the Galois groups of the iterates of x ² +1
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• Realising wreath products of cyclic groups as Galois groups
• Points on elliptic curves parametrizing dynamical Galois groups
• Galois representations from pre-image trees: an arboreal survey

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