Explicit Galois realization of transitive groups of degree up to 15

Authors
Kluners, J Malle, G
Citation
J. Kluners et G. Malle, Explicit Galois realization of transitive groups of degree up to 15, J SYMB COMP, 30(6), 2000, pp. 675-716
Citations number
22
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF SYMBOLIC COMPUTATION
ISSN journal
07477171 → ACNP
Volume
30
Issue
6
Year of publication
2000
Pages
675 - 716
Database
ISI
SICI code
0747-7171(200012)30:6<675:EGROTG>2.0.ZU;2-E
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 i n each case compute a polynomial f is an element of Q[x] with Gal(f) = G. ( C) 2000 Academic Press.