The Galois relation x₁ = x₂ + x₃ for finite simple groups
Kurt Girstmair (2007)
Acta Arithmetica
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Kurt Girstmair (2007)
Acta Arithmetica
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Martin Epkenhans (1997)
Acta Arithmetica
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Let mℤd ≀ mℤd ≀ mℤd ≀ m
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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Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
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Nour Ghazi (2011)
Acta Arithmetica
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R. Moors (1974)
Colloquium Mathematicae
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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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Kurt Girstmair (1983)
Manuscripta mathematica
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Granboulan, Louis (1996)
Experimental Mathematics
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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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Ido Efrat, Ján Mináč (2012)
Acta Arithmetica
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