GLn (q) as Galois group over the rationals.
Helmut Völklein (1992)
Mathematische Annalen
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Displaying similar documents to “Galois Action on Algebraic Matrix Groups, Chern Classes, and the Euler Class.”
GLn (q) as Galois group over the rationals.
Galois representations of dihedral type over ℚₚ
Peder Frederiksen, Ian Kiming (2004)
Acta Arithmetica
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Galois cohomology and Galois representations.
Shankar Sen (1993)
Inventiones mathematicae
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Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
A. Fröhlich (1985)
Journal für die reine und angewandte Mathematik
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Small Galois groups that encode valuations
Ido Efrat, Ján Mináč (2012)
Acta Arithmetica
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Galois descent and cohomology for algebraic groups.
Guido Mislin, Eric M. Freidlander (1990)
Mathematische Zeitschrift
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A Note on Classical Galois Theory.
T. SOUNDARARAJAN (1969)
Mathematische Annalen
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On twisted Galois-Gauß sums and canonical factorizations.
D. Burns (1995)
Mathematische Zeitschrift
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On realizability of p-groups as Galois groups
Michailov, Ivo M., Ziapkov, Nikola P. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12F12, 15A66. In this article we survey and examine the realizability of p-groups as Galois groups over arbitrary fields. In particular we consider various cohomological criteria that lead to necessary and sufficient conditions for the realizability of such a group as a Galois group, the embedding problem (i.e., realizability over a given subextension), descriptions of such extensions, automatic realizations among p-groups, and related...
Deformations of Galois representations arising from degenerate extensions
Adam Logan (2002)
Acta Arithmetica
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Realizability and automatic realizability of Galois groups of order 32
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.
Explicit deformation of Galois representations.
Nigel Boston (1991)
Inventiones mathematicae
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On Galois module structure of the cohomology groups of an algebraic variety.
S. Nakajima (1984)
Inventiones mathematicae
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Explicit solutions to embedding problems associated to orthogonal Galois representations.
Teresa Crespo (1990)
Journal für die reine und angewandte Mathematik
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