On a theorem of Hecke in number fields and function fields
โ Scribed by J. V. Armitage
- Publisher
- Springer-Verlag
- Year
- 1967
- Tongue
- English
- Weight
- 346 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Fontaine Mazur Conjecture for number fields predicts that infinite l-adic analytic groups cannot occur as the Galois groups of unramified l-extensions of number fields. We investigate the analogous question for function fields of one variable over finite fields, and then prove some special cases
Let k be a field of characteristic not equal to 2. For nZ1; let H n รฐk; Z=2ร denote the nth Galois Cohomology group. The classical Tate's lemma asserts that if k is a number field then given finitely many elements a 1 ; ?; a n AH 2 รฐk; Z=2ร; there exist a; b 1 ; ?; b n Ak ร such that a i ยผ รฐaร,รฐb i