On the computation of resolvents and Galois groups.
Kurt Girstmair (1983)
Manuscripta mathematica
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Kurt Girstmair (1983)
Manuscripta mathematica
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Kurt Girstmair (2006)
Acta Arithmetica
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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.
Ido Efrat (1998)
Manuscripta mathematica
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Kurt Girstmair (2007)
Acta Arithmetica
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R. Moors (1974)
Colloquium Mathematicae
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Ehud Hrushovski (2002)
Banach Center Publications
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Jan Brinkhuis (1992)
Manuscripta mathematica
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M. Madan, M. Rzedowski-Calderón (1996)
Manuscripta mathematica
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Nour Ghazi (2011)
Acta Arithmetica
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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.
Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
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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.
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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