Extensions of local fields and truncated power series
| dc.creator | Keating, Kevin | |
| dc.date | 2003-12-19 | |
| dc.date | 2005-03-16 | |
| dc.date.accessioned | 2026-07-07T05:04:05Z | |
| dc.date.available | 2026-07-07T05:04:05Z | |
| dc.description | Let $K$ be a finite tamely ramified extension of $\Q_p$ and let $L/K$ be a totally ramified $(\Z/p^n\Z)$-extension. Let $π_L$ be a uniformizer for $L$, let $σ$ be a generator for $\Gal(L/K)$, and let $f(X)$ be an element of $Ø_K[X]$ such that $σ(π_L)=f(π_L)$. We show that the reduction of $f(X)$ modulo the maximal ideal of $Ø_K$ determines a certain subextension of $L/K$ up to isomorphism. We use this result to study the field extensions generated by periodic points of a $p$-adic dynamical system. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312391 | |
| dc.identifier | http://arxiv.org/abs/math/0312391 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69667 | |
| dc.subject | Number Theory | |
| dc.subject | 11S15 | |
| dc.title | Extensions of local fields and truncated power series | |
| dc.type | text |