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Unramified cohomology of degree 3 and Noether’s problem

✍ Scribed by Emmanuel Peyre

Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
438 KB
Volume
171
Category
Article
ISSN
0020-9910

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✍ V. Suresh 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 290 KB

Let k be a field of characteristic not equal to 2. For nZ1; let H n ðk; Z=2Þ 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 ðk; Z=2Þ; there exist a; b 1 ; ?; b n Ak à such that a i ¼ ðaÞ,ðb i