We prove that two arithmetically significant extensions of a field F coincide if w x and only if the Witt ring WF is a group ring β«ήβ¬rn G . Furthermore, working modulo squares with Galois groups which are 2-groups, we establish a theorem analogous to Hilbert's Theorem 90 and show that an identity li
β¦ LIBER β¦
The Galois cohomology of pythagorean fields
β Scribed by Bill Jacob
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 827 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Field Theory and the Cohomology of Some
β
Alejandro Adem; Wenfeng Gao; Dikran B Karagueuzian; JΓ‘n MinΓ‘Δ
π
Article
π
2001
π
Elsevier Science
π
English
β 201 KB
Quadratic Forms and Galois Cohomology ov
β
R. Ware
π
Article
π
1993
π
Elsevier Science
π
English
β 278 KB
Galois cohomology in degree 3 of functio
β
V. Suresh
π
Article
π
2004
π
Elsevier Science
π
English
β 290 KB
Let k be a field of characteristic not equal to 2. For nZ1; let H n Γ°k; Z=2Γ 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 Γ°k; Z=2Γ; there exist a; b 1 ; ?; b n Ak Γ such that a i ΒΌ Γ°aΓ,Γ°b i
Galois cohomology of ambiguous ideals
β
S. Ullom
π
Article
π
1969
π
Elsevier Science
π
English
β 279 KB
On the Galois cohomology of dedekind rin
β
Donald L McQuillan
π
Article
π
1976
π
Elsevier Science
π
English
β 436 KB
The zero-dimensional Galois cohomology o
β
Alex Rosenberg; Roger Ware
π
Article
π
1970
π
Springer-Verlag
π
English
β 384 KB