The intersection of distinct Galois subrings is not necessarily Galois
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Yousif Al-Khamees (1980)
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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.
Szeto, George, Xue, Lianyong (2000)
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Szeto, George, Ma, Linjun (1988)
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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.
Ido Efrat (1998)
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Szeto, George (1997)
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Szeto, George, Xue, Lianyong (2000)
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