Fixed-point-free elements of iterated monodromy groups

DOI10.1090/S0002-9947-2014-06347-2zbMath1385.37063arXiv1204.2843OpenAlexW2034195302MaRDI QIDQ5496655

Rafe Jones

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2843

zbMATH Keywords

Galois extensionmonodromy groupChebyshev polynomial

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Groups acting on trees (20E08) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (6)

Fixed point proportions for Galois groups of non-geometric iterated extensions ⋮ Settled elements in profinite groups ⋮ Finite index theorems for iterated Galois groups of cubic polynomials ⋮ A large arboreal Galois representation for a cubic postcritically finite polynomial ⋮ Galois groups and Cantor actions ⋮ On elementary amenable bounded automata groups

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• Phase transition in subhyperbolic Julia sets
• Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set
• Dynamics in One Complex Variable. (AM-160)

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