The ideal class group of the \(\mathbb Z_p\)-extension over the rationals
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Publication:961448
DOI10.2748/tmj/1264084499zbMath1238.11101OpenAlexW1967537596MaRDI QIDQ961448
Publication date: 30 March 2010
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1264084499
Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)
Related Items
WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ2-EXTENSION OF ℚ, III ⋮ Mahler measure and Weber's class number problem in the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\) for odd prime number \(p\) ⋮ The \(l\)-class group of the \(\mathbb Z_p\)-extension over the rational field ⋮ Weber's class number problem in the cyclotomic \(\mathbb Z_2\)-extension of \(\mathbb Q\). II. ⋮ Height and Weber's class number problem ⋮ Weber’s Class Number One Problem
Cites Work
- A note on class numbers of algebraic number fields
- The ideal class group of the basic \(\mathbb Z_p\)-extension over an imaginary quadratic field
- Primary components of the ideal class group of the \(\mathbb Z_p\)-extension over \(\mathbb Q\) for typical inert primes
- Primary components of the ideal class group of an Iwasawa-theoretical Abelian number field
- Certain primary components of the ideal class group of the \(\mathbb Z_p\)-extension over the rationals
- Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field
- The narrow class groups of some Zp-extensions over the rationals
- Weber's Class Number Problem in the Cyclotomic ℤ2-Extension of ℚ
- Weber’s Class Number One Problem
