Roots of unity and higher ramification in iterated extensions

DOI10.1090/proc/16825MaRDI QIDQ6621282

Spencer Hamblen, Rafe Jones

Publication date: 18 October 2024

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

zbMATH Keywords

ramification filtrationarithmetic profinitenessbicritical rational functions

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Ramification and extension theory (11S15) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Dynamical systems over global ground fields (37P15)

Cites Work

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• Fields generated by torsion points of elliptic curves
• Finite ramification for preimage fields of post-critically finite morphisms
• Elementary analytic methods in higher ramification theory
• The arithmetic basilica: a quadratic PCF arboreal Galois group
• Abelian extensions in dynamical Galois theory
• Ramification in p-adic Lie extensions
• A characterization of strictly APF extensions
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Local Arboreal Representations
• QUADRATIC RECURRENCES WITH A POSITIVE DENSITY OF PRIME DIVISORS
• Galois representations from pre-image trees: an arboreal survey
• A Dynamical Analogue of Sen’s Theorem
• Cyclotomic and abelian points in backward orbits of rational functions

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