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The Grunwald problem and specialization of families of regular Galois extensions | | Joachim König
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16 Oct 2017 | | Abstract: | We investigate specializations of infinite families of regular Galois
extensions over number fields. The problem to what extent the local behaviour
of specializations of one single regular Galois extension can be prescribed has
been investigated by D’{e}bes and Ghazi in the unramified case, and by
Legrand, Neftin and the author in general. Here, we generalize these results
and give a partial solution to Grunwald problems using Galois extensions
arising as specializations of a family of regular Galois extensions. | | Source: | arXiv, 1710.5548 | | Services: | Forum | Review | PDF | Favorites | |
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