On the inverse problem of Galois theory. Núria Vila (1992) Publicacions Matemàtiques Similarity: 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.
On double covers of the generalized alternating group ℤ d ≀ m as Galois groups over algebraic number fields Martin Epkenhans (1997) Acta Arithmetica Similarity: Let ℤ d ≀ m b e t h e g e n e r a l i z e d a l t e r n a t i n g g r o u p . W e p r o v e t h a t a l l d o u b l e c o v e r s o f ℤd ≀ m o c c u r a s G a l o i s g r o u p s o v e r a n y a l g e b r a i c n u m b e r f i e l d . W e f u r t h e r r e a l i z e s o m e o f t h e s e d o u b l e c o v e r s a s t h e G a l o i s g r o u p s o f r e g u l a r e x t e n s i o n s o f ℚ ( T ) . I f d i s o d d a n d m > 7 , t h e n e v e r y c e n t r a l e x t e n s i o n o f ℤd ≀ m o c c u r s a s t h e G a l o i s g r o u p o f a r e g u l a r e x t e n s i o n o f ℚ ( T ) . W e f u r t h e r i m p r o v e s o m e o f o u r e a r l i e r r e s u l t s c o n c e r n i n g d o u b l e c o v e r s o f t h e g e n e r a l i z e d s y m m e t r i c g r o u p ℤd ≀ m .
Galois covers with prescribed fibers : the Beckmann-Black problem Pierre Dèbes (1999) Annali della Scuola Normale Superiore di Pisa - Classe di Scienze Similarity:
Solvable-by-finite groups as differential Galois groups Claude Mitschi, Michael F. Singer (2002) Annales de la Faculté des sciences de Toulouse : Mathématiques Similarity:
Galois covers of ℙ 1 over ℚ with prescribed local or global behavior by specialization Bernat Plans, Núria Vila (2005) Journal de Théorie des Nombres de Bordeaux Similarity: This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of ℙ ℚ 1 .
Galois Extensions with Bounded Ramifaction in Characteristic p. On a question of S. Abhyankar. M. Madan, M. Rzedowski-Calderón (1996) Manuscripta mathematica Similarity:
On characterizations of a center Galois extension. Szeto, George, Xue, Lianyong (2000) International Journal of Mathematics and Mathematical Sciences Similarity: