Title
On computing subfields
Abstract
The purpose of this article is to determine all subfields Q(β) of fixed degree of a given algebraic number field Q(α). It is convenient to describe each subfield by a pair ( h , g ) of polynomials in Q[t] resp. Z[t] such that g is the minimal polynomial of β = h (α). The computations are done in unramified p -adic extensions and use information concerning subgroups of the Galois group of the normal closure of Q(α) obtained from the van der Waerden criterion.
Year
DOI
Venue
1997
10.1006/jsco.1996.0140
J. Symb. Comput.
DocType
Volume
Issue
Journal
24
3-4
ISSN
Citations 
PageRank 
Journal of Symbolic Computation
6
1.20
References 
Authors
0
2
Name
Order
Citations
PageRank
JüRgen KlüNers14910.32
Michael Pohst221163.75