Unramified abelian extensions of number fields

DOI10.1016/0022-314X(88)90022-4zbMath0649.12008MaRDI QIDQ1105643

Robert J. Bond

Publication date: 1988

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

zbMATH Keywords

Hilbert class fieldclass-groupHilbert's theorem 94p-class tower

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Galois cohomology (11R34)

Related Items (2)

A note on the 3-class field tower of a cyclic cubic field. ⋮ Real quadratic fields with abelian 2-class field tower

Cites Work

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• A note on the group of units of an algebraic number field
• Some results on the capitulation problem
• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• Kohomologische Trivialitäten und äußere Automorphismen von p- Gruppen
• A generalization of Hubert’s Theorem 94
• On Class Field Towers and the Rank of Ideal Class Groups

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