Division algebras with no common subfields
โ Scribed by Bill Jacob; Adrian R. Wadsworth
- Book ID
- 112892154
- Publisher
- The Hebrew University Magnes Press
- Year
- 1993
- Tongue
- English
- Weight
- 342 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
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
## Introduction. 1. Background and notation. 2. Totally ramified field extensions. 3. Existence of totally ramified subfields. 4. Exact sequences and group actions. 5. Subfields and splitting fields, general case. 6. Subfields and splitting fields, semiramified case. 7. F absolutely stable. 8