8-ranks of \(K_2\) of rings of integers in quadratic number fields
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Publication:1293170
DOI10.1006/jnth.1998.2358zbMath0938.11058OpenAlexW1995080613MaRDI QIDQ1293170
Publication date: 5 October 1999
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1998.2358
Galois cohomology\(K\)-theoryquadratic number fieldray class groupclass field theorynarrow class groupRognes-Weibel theorem
Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70) Galois cohomology (11R34)
Related Items (4)
On the structure of \((O_k/I)\) ⋮ On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms ⋮ The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\) ⋮ 8-ranks of \(K_2\) of rings of integers in quadratic number fields
Cites Work
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- The 4-rank of $K₂O_F$ for real quadratic fields F
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- On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms
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