A cohomological study of the 2-primary part of \(K_2{\mathcal O})\)

DOI10.1007/BF01054449zbMath0712.11070MaRDI QIDQ923624

Thong Nguyen Quang Do

Publication date: 1990

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

tame kernelBirch-Tate-ConjectureMain Conjecture in Iwasawa theory

Mathematics Subject Classification ID

Iwasawa theory (11R23) (K)-theory of global fields (11R70) Galois cohomology (11R34) Steinberg groups and (K_2) (19C99)

Related Items (3)

Galois descent and \(K_ 2\) of number fields ⋮ Reflexion theorems ⋮ 8-ranks of \(K_2\) of rings of integers in quadratic number fields

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlkörperfall
• On \(\mathbb{Z}_ p\)-torsion of some Galois modules
• Remarks on \(K_ 2\) of number fields
• The structure of the 2-Sylow-subgroup of \(K_ 2({\mathfrak o})\). I
• A note on the 2-part of \(K_ 2({\mathfrak o}_ F)\) for totally real number fields F
• The structure of the 2-Sylow subgroup of \(K_ 2({\mathfrak o})\). II
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Relations between \(K_2\) and Galois cohomology
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On \(K_2\) and some classical conjectures in algebraic number theory
• On the values of zeta and L-functions. I

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