On minus quotients of ideal class groups of cyclotomic fields

DOI10.1142/S1793042120501043zbMath1471.11273OpenAlexW3036698079MaRDI QIDQ4970764

Satoshi Fujii

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1142/s1793042120501043

zbMATH Keywords

cyclotomic fieldsideal class groupscapitulationsminus quotients

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Cites Work

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• Visibility of ideal classes
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• The class group of all cyclotomic integers
• On the ideal class groups of the maximal real subfields of number fields with all roots of unity
• A note on the capitulation in \(\mathbb{Z}_ p\)-extensions
• Inclusion of CM-fields and divisibility ofrelative class numbers
• Finite \Lambda -submodules of Iwasawa modules for a CM-field for p=2

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