On twisted Galois-Gauß sums and canonical factorizations.
D. Burns (1995)
Mathematische Zeitschrift
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D. Burns (1995)
Mathematische Zeitschrift
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Abul Maksud Sayied (1970)
Mathematische Zeitschrift
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Daniel Bertrand (2002)
Banach Center Publications
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The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.
Nour Ghazi (2011)
Acta Arithmetica
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Henning Stichtenoth (1984)
Mathematische Zeitschrift
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Helmut Völklein (1992)
Mathematische Annalen
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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.
Yoichi Miyashita (1984)
Mathematische Zeitschrift
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Gopal Prasad (2001)
Bulletin de la Société Mathématique de France
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We give a new proof of a useful result of Guy Rousseau on Galois-fixed points in the Bruhat-Tits building of a reductive group.
Granboulan, Louis (1996)
Experimental Mathematics
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R. Moors (1974)
Colloquium Mathematicae
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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.
Ehud Hrushovski (2002)
Banach Center Publications
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Kurt Girstmair (1983)
Manuscripta mathematica
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Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
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Szeto, George, Xue, Lianyong (2002)
International Journal of Mathematics and Mathematical Sciences
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Szeto, George, Xue, Lianyong (2003)
International Journal of Mathematics and Mathematical Sciences
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Teresa Crespo, Zbigniew Hajto (2002)
Annales de l’institut Fourier
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An effective construction of homogeneous linear differential equations of order 2 with Galois group or is presented.