Galois groups and Cantor actions

DOI10.1090/tran/8218zbMath1464.37012arXiv1809.08475OpenAlexW3045265027MaRDI QIDQ4963623

O. V. Lukina

Publication date: 19 February 2021

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

Full work available at URL: https://arxiv.org/abs/1809.08475

zbMATH Keywords

Galois groupspermutation groupsprofinite groupsgroup chainspost-critically finite polynomialsarboreal representationsiterated monodromy groupnon-Hausdorff groupoidsasymptotic discriminant

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Polynomials (irreducibility, etc.) (11R09) Topological groupoids (including differentiable and Lie groupoids) (22A22) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Groups acting on trees (20E08) Limits, profinite groups (20E18) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamics in general topological spaces (37B02)

Related Items (5)

Wild Cantor actions ⋮ Settled elements in profinite groups ⋮ Cyclotomic and abelian points in backward orbits of rational functions ⋮ Limit group invariants for non-free Cantor actions ⋮ Cantor dynamics of renormalizable groups

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