Galois cohomology of a number field is Koszul
β Scribed by Positselski, Leonid
- Book ID
- 125799194
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 557 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
From the reviews of the second edition: "The publication of a second edition gives me a chance to β¦ emphasize what an important book it is. β¦ the book a necessary part of the number theoristβs library. That itβs also well written, clear, and systematic is a very welcome bonus. β¦ There are many good
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