Some results related to Hilbert's theorem 94

DOI10.1016/0022-314X(70)90020-XzbMath0216.04701OpenAlexW2074821165WikidataQ56689262 ScholiaQ56689262MaRDI QIDQ2545900

Yanyan Li

Publication date: 1970

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(70)90020-x

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items

On the Construction of Relative Genus Fields ⋮ Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I ⋮ $\Gamma $-extensions et invariants cyclotomiques ⋮ Some results on the capitulation problem ⋮ Ostrowski quotients for finite extensions of number fields ⋮ Transfers of metabelian \(p\)-groups ⋮ A note on the class group of composita ⋮ Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94 ⋮ Tours de corps de classes et estimations de discriminants ⋮ On the units of a non-abelian Galois extension of degree \(pq\) of the rational field, \(p\) and \(q\) odd prime numbers ⋮ Units and class numbers of a dihedral Galois extension of \(\mathbb{Q}\) ⋮ Sur la structure galoisienne du groupe des unités d'un corps abélien de type \((p,p)\) ⋮ Capitulation, ambiguous classes and the cohomology of the units ⋮ On the parity of the class number of multiquadratic number fields ⋮ Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II ⋮ Principalization algorithm via class group structure ⋮ Imaginary bicyclic biquadratic fields with the real quadratic subfield of class-number one

Cites Work

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• A note on the group of units of an algebraic number field
• On a special class of \(p\)-groups
• A remark concerning Hilbert's Theorem 94.