Settled elements in profinite groups
DOI10.1016/j.aim.2022.108424OpenAlexW3169175197MaRDI QIDQ2671908
O. V. Lukina, María Isabel Cortez
Publication date: 3 June 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.00631
Structure of general topological groups (22A05) Maximal subgroups (20E28) Galois theory (11R32) Extensions, wreath products, and other compositions of groups (20E22) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials (irreducibility, etc.) (11R09) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General properties and structure of LCA groups (22B05) Dynamical systems involving maps of trees and graphs (37E25) Groups acting on trees (20E08) Limits, profinite groups (20E18) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15)
Cites Work
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- On finite permutation groups with a transitive cyclic subgroup.
- Finite generation of iterated wreath products.
- Some topics in the dynamics of group actions on rooted trees.
- The image of an arboreal Galois representation
- On the automorphism group of the one-rooted binary tree
- Irreducibility of iterates of post-critically finite quadratic polynomials over \(\mathbb{Q}\)
- Markov processes and some PCF quadratic polynomials
- Arboreal Galois representations
- Dynamical Belyi maps and arboreal Galois groups
- A Refined Conjecture for Factorizations of Iterates of Quadratic Polynomials over Finite Fields
- Settled polynomials over finite fields
- The density of prime divisors in the arithmetic dynamics of quadratic polynomials
- The Galois Theory of Iterates and Composites of Polynomials
- Wreath Products and Proportions of Periodic Points
- The set of stable primes for polynomial sequences with large Galois group
- Galois groups and Cantor actions
- Arboreal Cantor actions
- Galois representations from pre-image trees: an arboreal survey
- Limit group invariants for non-free Cantor actions
- Current trends and open problems in arithmetic dynamics
- Fixed-point-free elements of iterated monodromy groups
- Profinite Groups
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