A generalization of Hubert’s theorem 94

DOI10.1017/S0027763000003445zbMath0728.11061OpenAlexW1499977798MaRDI QIDQ3351474

Hiroshi Suzuki

Publication date: 1991

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000003445

zbMATH Keywords

capitulationprincipal ideal theoremHilbert's theorem 94

Mathematics Subject Classification ID

Class field theory (11R37)

Related Items (13)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ Sur une question de capitulation ⋮ The group transfer theorem ⋮ A generalized Iwasawa's theorem and its application ⋮ Steinitz classes for Galois extensions of Dedekind rings ⋮ On the Steinitz module and capitulation of ideals ⋮ Retracted: A note on number knots and the splitting of the Hilbert class field ⋮ Some \(p\)-groups with two generators which satisfy certain conditions arising from arithmetic in imaginary quadratic fields ⋮ Capitulation and transfer kernels ⋮ Transfer kernels for finite groups. ⋮ Moments and interpretations of the Cohen-Lenstra-Martinet heuristics ⋮ Weyl Groups, Ideal Class Groups and theK-Theory of the Extension Functor ⋮ A group-theoretical version of Hilbert's theorem 90

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