On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields

DOI10.2969/JMSJ/06641091zbMath1332.11096OpenAlexW2069295974MaRDI QIDQ482853

Mamoru Asada

Publication date: 6 January 2015

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1414090235

zbMATH Keywords

class groupscyclotomic extensionsembedding problems

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Cites Work

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• Sheaves for algebraic number fields
• On Galois groups of abelian extensions over maximal cyclotomic fields
• The class group of all cyclotomic integers
• Galois groups of unramified solvable extensions
• On the ideal class groups of the maximal real subfields of number fields with all roots of unity
• On solvable extensions of algebraic number fields
• Konstruktion von Zahlkörpern mit gegebener Galoisgruppe von Primzahlpotenzordnung.

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