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Galois embedding problems with cyclic quotient of orderp

✍ Scribed by Ján Mináč; John Swallow


Book ID
105608394
Publisher
The Hebrew University Magnes Press
Year
2005
Tongue
English
Weight
887 KB
Volume
145
Category
Article
ISSN
0021-2172

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📜 SIMILAR VOLUMES


Cyclic Reduction of Central Embedding Pr
✍ H. Opolka 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 152 KB

It is shown that every central embedding problem \(E\) for the absolute Galois group \(\mathscr{G}\) of a number field has a so-called cyclic reduction \(E^{\prime}\); this is a central embedding problem for \(\mathscr{G}\) with a cyclic quotient group \(J\) of \(\mathscr{G}\) such that \(E\) is sol

Explicit Solutions of Galois Embedding P
✍ Montserrat Vela 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 479 KB

In this paper we study Galois embedding problems given by central extensions with cyclic kernel. We find a new expression for the obstruction to the solvability of these embedding problems in terms of Galois symbols. We also give a method to construct the solutions when these problems are solvable.