Some remarks on the relative genus fields

DOI10.2996/kmj/1138036614zbMath0505.12013OpenAlexW2088959464MaRDI QIDQ1835954

Koichi Takase

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036614

zbMATH Keywords

genus fieldgenus theoryclass field theory

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Galois cohomology (11R34)

Cites Work

• Construction of genus field and some applications
• On the genus fields of pure number fields
• The genus fields of algebraic number fields
• Construction of number fields with prescribed \(\ell\)-class groups
• Some unramified abelian extensions of algebraic number fields.
• Some Applications of ABHYANKAR's Lemma
• On the Class Number of a Relatively Cyclic Number Field
• The Genus Field and Genus Number in Algebraic Number Fields

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