Construction of genus field and some applications

DOI10.1016/0022-314X(79)90028-3zbMath0421.12012OpenAlexW2069779596MaRDI QIDQ1132913

M. Bhaskaran

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-314x(79)90028-3

zbMATH Keywords

extension fieldgenus field of number fieldnarrow genus field

Mathematics Subject Classification ID

Class field theory (11R37)

Related Items (6)

Counterexample and correction about genus fields of number fields ⋮ Algebraic number fields ⋮ Genus fields of global fields ⋮ Letter to the editor ⋮ Some remarks on the relative genus fields ⋮ Some further remarks on genus field

Cites Work

• Unnamed Item
• Unnamed Item
• On the genus field of an algebraic number field of odd prime degree
• A supplement to Leopoldt's theory of genera in abelian number fields
• Sur la théorie du corps de classes sur le corps des nombres rationnels
• Some unramified abelian extensions of algebraic number fields.
• The Genus Field and Genus Number in Algebraic Number Fields
• The genus field and genus group in finite number fields
• On a problem of Schinzel concerning principal divisors in arithmetic progressions
• On Prime Discriminants
• Zur Geschlechtertheorie in abelschen Zahlkörpern

This page was built for publication: Construction of genus field and some applications