Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

On the embedding problem for nonsolvable Galois groups of algebraic number fields: Reduction theorems


Author: Jack Sonn
Journal: Bull. Amer. Math. Soc. 78 (1972), 553-557
MSC (1970): Primary 12A55, 12B15, 20G40
MathSciNet review: 0308080
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Masatoshi Ikeda, Zur Existenz eigentlicher galoisscher Körper beim Einbettungsproblem für galoissche Algebren, Abh. Math. Sem. Univ. Hamburg 24 (1960), 126–131 (German). MR 0121364
  • 2. Klaus Hoechsmann, Zum Einbettungsproblem, J. Reine Angew. Math. 229 (1968), 81–106 (German). MR 0244190
  • 3. Arnold Scholz, Über die Bildung algebraischer Zahlkörper mit auflösbarer Galoisscher Gruppe, Math. Z. 30 (1929), no. 1, 332–356 (German). MR 1545066, 10.1007/BF01187775
  • 4. I. R. Šafarevič, On the construction of fields with a given Galois group of order 𝑙^{𝛼}, Izv. Akad. Nauk SSSR. Ser. Mat. 18 (1954), 261–296 (Russian). MR 0066418

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 12A55, 12B15, 20G40

Retrieve articles in all journals with MSC (1970): 12A55, 12B15, 20G40


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1972-12997-5