The problem of the construction of number fields with Galois group over Q a given finite groups has made considerable progress in the recent years. The aim of this paper is to survey the current state of this problem, giving the most significant methods developed in connection with it.
@article{urn:eudml:doc:41769, title = {On the inverse problem of Galois theory.}, journal = {Publicacions Matem\`atiques}, volume = {36}, year = {1992}, pages = {1053-1073}, mrnumber = {MR1210036}, zbl = {0777.12002}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41769} }
Vila, Núria. On the inverse problem of Galois theory.. Publicacions Matemàtiques, Tome 36 (1992) pp. 1053-1073. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41769/