Some polynomials over Q(t) and their Galois groups

Authors
Smith, GW
Citation
Gw. Smith, Some polynomials over Q(t) and their Galois groups, MATH COMPUT, 69(230), 2000, pp. 775-796
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
69
Issue
230
Year of publication
2000
Pages
775 - 796
Database
ISI
SICI code
0025-5718(200004)69:230<775:SPOQAT>2.0.ZU;2-Z
Abstract
Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demons trating the existence of an infinity of extensions with each Galois group o ver Q through degree eight. The methods used, which for the most part have not appeared in print, are briefly discussed.