Genus number and l-rank of genus group of cyclic extensions of degree l

DOI10.1007/BF01312447zbMath0496.12006MaRDI QIDQ1170289

Teruo Takeuchi

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154874

zbMATH Keywords

class groupgenus theoryclass fieldtamely ramified cyclic extension

Mathematics Subject Classification ID

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

Cites Work

• Construction of number fields with prescribed \(\ell\)-class groups
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• THE GENERALIZATION OF A THEOREM OF L. RÉDEI'S
• Notes on the class field towers of cyclic fields of degree \(\ell\)

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