On the calculation of some differential galois groups.
N.M. Katz (1987)
Inventiones mathematicae
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N.M. Katz (1987)
Inventiones mathematicae
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Kurt Girstmair (2007)
Acta Arithmetica
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Uwe Jannsen (1982/83)
Inventiones mathematicae
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Núria Vila (1992)
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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.
Kurt Girstmair (1983)
Manuscripta mathematica
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Ido Efrat, Ján Mináč (2012)
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.
Helmut Völklein (1992)
Mathematische Annalen
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Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
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R. Moors (1974)
Colloquium Mathematicae
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Ehud Hrushovski (2002)
Banach Center Publications
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Nour Ghazi (2011)
Acta Arithmetica
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Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
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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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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.