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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Roger Ware, Ján Minác (1992)
Mathematische Annalen
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T. SOUNDARARAJAN (1969)
Mathematische Annalen
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Kay Wingberg (1986)
Journal für die reine und angewandte Mathematik
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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
Gudrun Brattström (1989)
Mathematica Scandinavica
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B. Moishezon, A. Robb, M. Teicher (1996)
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.
Roger Ware, Ján Minác (1991)
Manuscripta mathematica
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Julia Hartmann (2002)
Banach Center Publications
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This note extends the algorithm of [hess] for computing unimodular Galois groups of irreducible differential equations of order four. The main tool is invariant theory.
Helen Grundman, Tara Smith (2010)
Open Mathematics
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This article provides necessary and sufficient conditions for each group of order 32 to be realizable as a Galois group over an arbitrary field. These conditions, given in terms of the number of square classes of the field and the triviality of specific elements in related Brauer groups, are used to derive a variety of automatic realizability results.
Ido Efrat (1998)
Manuscripta mathematica
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Jochen Koenigsmann (1998)
Manuscripta mathematica
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Ido Efrat, Ján Mináč (2012)
Acta Arithmetica
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Martin L. Karel (1981)
Mathematische Annalen
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D. Burns, M. Flach (1996)
Mathematische Annalen
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N.M. Katz (1987)
Inventiones mathematicae
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