Title
Galois group computation for rational polynomials
Abstract
We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method.
Year
DOI
Venue
2000
10.1006/jsco.2000.0377
J. Symb. Comput.
Keywords
Field
DocType
Galois group computation,rational polynomial
Discrete mathematics,Rational number,Polynomial,Galois group,Univariate,Mathematics,Computation
Journal
Volume
Issue
ISSN
30
6
Journal of Symbolic Computation
Citations 
PageRank 
References 
17
1.92
4
Authors
2
Name
Order
Citations
PageRank
Katharina Geissler1171.92
JüRgen KlüNers24910.32