✦ LIBER ✦
Explicit Solutions of Galois Embedding Problems by Means of Generalized Clifford Algebras
✍ Scribed by Montserrat Vela
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 479 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0747-7171
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✦ Synopsis
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. We find a solution from a coordinate of the norm of an adequate element in a generalized Clifford algebra.