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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.
Vila, Núria. "On the inverse problem of Galois theory.." Publicacions Matemàtiques 36.2B (1992): 1053-1073. <http://eudml.org/doc/41769>.
@article{Vila1992, abstract = {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.}, author = {Vila, Núria}, journal = {Publicacions Matemàtiques}, keywords = {inverse Galois theory; Schur representation groups; survey}, language = {eng}, number = {2B}, pages = {1053-1073}, title = {On the inverse problem of Galois theory.}, url = {http://eudml.org/doc/41769}, volume = {36}, year = {1992}, }
TY - JOUR AU - Vila, Núria TI - On the inverse problem of Galois theory. JO - Publicacions Matemàtiques PY - 1992 VL - 36 IS - 2B SP - 1053 EP - 1073 AB - 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. LA - eng KW - inverse Galois theory; Schur representation groups; survey UR - http://eudml.org/doc/41769 ER -