GLn (q) as Galois group over the rationals.
Helmut Völklein (1992)
Mathematische Annalen
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Helmut Völklein (1992)
Mathematische Annalen
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P. Ribenboim (1966)
Mathematische Annalen
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T. SOUNDARARAJAN (1969)
Mathematische Annalen
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Roger Ware, Ján Minác (1992)
Mathematische Annalen
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Mina Teicher, Boris Moishezon (1992)
Mathematische Annalen
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Kuang-yen Shih (1974)
Mathematische Annalen
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Núria Vila (1992)
Publicacions Matemàtiques
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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.
P.K. MENON (1964)
Mathematische Annalen
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Hans-Jochen Bartels (1981)
Mathematische Annalen
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Helen Grundman, Tara Smith (2010)
Open Mathematics
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This article examines the realizability of groups of order 64 as Galois groups over arbitrary fields. Specifically, we provide necessary and sufficient conditions for the realizability of 134 of the 200 noncyclic groups of order 64 that are not direct products of smaller groups.
Henning Stichtenoth (1984)
Mathematische Zeitschrift
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Pierre Dèbes (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kurt Girstmair (1983)
Manuscripta mathematica
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Michailov, Ivo (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12F12. We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well. This work is partially supported by project of Shumen University