Local Arboreal Representations

Let K be a field complete with respect to a discrete valuation v of residue characteristic p. Let f(z)∈K[z] be a separable polynomial of the form z[superscript ℓ]−c. Given a∈K, we examine the Galois groups and ramification groups of the extensions of K generated by the solutions to fn(z)=a. The beha...

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Bibliographic Details
Main Authors: Anderson, Jacqueline, Hamblen, Spencer, Poonen, Bjorn, Walton, Laura
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Oxford University Press (OUP) 2018
Online Access:http://hdl.handle.net/1721.1/116023
https://orcid.org/0000-0002-8593-2792

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