An alternative approach to Kida and Ferrero's computations of Iwasawa \(\lambda\)-invariants

DOI10.1016/j.jnt.2013.11.014zbMath1296.11139arXiv1211.1727OpenAlexW1740634431MaRDI QIDQ2017179

Jordan Schettler

Publication date: 25 June 2014

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

Full work available at URL: https://arxiv.org/abs/1211.1727

zbMATH Keywords

Iwasawa theoryKida's formulaRiemann-Hurwitz formulaFermat primeimaginary quadratic number fieldlambda invariants

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Galois cohomology (11R34)

Cites Work

• On the 2-part of the ideal class group of the cyclotomic \(\mathbb Z_p\)-extension over the rationals
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Cyclotomic Z//2-extensions of J-fields
• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Algebra. Volume II: Fields with structure, algebras and advanced topics. Transl. from the German by Silvio Levy. With the collaboration of the translator
• Über die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer Äquivalenz
• On Γ-extensions of algebraic number fields
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• Totally Positive Units and Squares
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