Some results on the capitulation problem

DOI10.1016/0022-314X(81)90007-XzbMath0458.12007MaRDI QIDQ1151431

Robert J. Bond

Publication date: 1981

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

zbMATH Keywords

Hilbert class fieldideal class groupunramified abelian extensionlength of p-class field tower

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

Unramified abelian extensions of number fields, Retracted: A note on number knots and the splitting of the Hilbert class field, Capitulation, ambiguous classes and the cohomology of the units

Cites Work

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• A note on the group of units of an algebraic number field
• Group-theoretic constraints on the structure of the class group
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• Some results related to Hilbert's theorem 94
• A remark concerning Hilbert's Theorem 94.