Paper Info
Title
On the computation of all extensions of a p-ADIC field of a given degree
Abstract
Let k be a p-adic eld. It is well-known that k has only nitely many extensions of a given nite degree. Krasner has given formulae for the number of extensions of a given degree and discriminant. Following his work, we present an algorithm for the computation of generating polynomials for all extensions K=k of a given degree and discriminant.
Year
DOI
Venue
2001
10.1090/S0025-5718-01-01306-0
Math. Comput.
Keywords
DocType
Volume
. p-adic elds,eisenstein polynomials. the work of the rst author was supported in part by ism and fcar/cicma qu ebec.,p-ADIC field,wildly ramied extensions
Journal
70
Issue
ISSN
Citations 
236
0025-5718
3
PageRank 
References 
Authors
0.59
0
2
Name
Order
Citations
PageRank
Sebastian Pauli130.59
Xavier-François Roblot2124.71