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
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
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.