A Simple Construction of Genus Fields of Abelian Number Fields

DOI10.2307/2045220zbMath0574.12006OpenAlexW3149372757MaRDI QIDQ3693576

Xianke Zhang

Publication date: 1985

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045220

zbMATH Keywords

genus fieldHilbert's ramification theoryAbelian number field

Mathematics Subject Classification ID

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

Related Items (4)

Genus field and extended genus field of an elementary abelian extension of global fields ⋮ Structure and prime decomposition law and relative extensions of abelian fields with prime power degree ⋮ Genus fields of abelian extensions of rational congruence function fields. II ⋮ Genus fields of Kummer ℓn-cyclic extensions

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