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Explicit Galois Realization of Transitive Groups of Degree up to 15

Authors
Journal
Journal of Symbolic Computation
0747-7171
Publisher
Elsevier
Publication Date
Volume
30
Issue
6
Identifiers
DOI: 10.1006/jsco.2000.0378

Abstract

Abstract We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of Q ( t), and in each case compute a polynomial f ∈ Q [ x ] with Gal( f) = G.

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