Galois subfields of inertially split division algebras
โ Scribed by Timo Hanke
- Book ID
- 113675247
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 126 KB
- Volume
- 346
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
If G is a finite group and k is a field, then G is k-admissible if there exists a G-Galois extension Lrk such that L is a maximal subfield of a k-division algebra. ลฝ . We prove that PSL 2, 7 is k-admissible for any number field which either fails to ' contain y1 or which has two primes lying over t
A splitting field of a central simple algebra is said to be absolute Galois if it is Galois over some fixed subfield of the centre of the algebra. The paper proves an existence theorem for such fields over global fields with enough roots of unity. As an application, all twisted function fields and a