On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>ℤ</mml:mi> <mml:mi>p</mml:mi> </mml:msub></mml:math>-Extensions Over Imaginary Quadratic Fields-Reference-Cited by-同舟云学术

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On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple ℤ p -Extensions Over Imaginary Quadratic Fields

Published:2023-01-27 Issue:3 Volume:34 Page:881-902
ISSN:2118-8572
Container-title:Journal de théorie des nombres de Bordeaux
language:en
Short-container-title:

Author:

Miura Takashi,Murakami Kazuaki,Okano Keiji,Otsuki Rei

Publisher

Cellule MathDoc/CEDRAM

Subject

Algebra and Number Theory

Reference15 articles.

1. Prime decomposition in the anti-cyclotomic extensions;Brink, David;Math. Comput.,2007

2. Iwasawa invariant $μ_{p}$ vanishes for abelian number fields;Ferrero, Bruce;Ann. Math.,1979

3. Pseudo-null submodules of the unramified Iwasawa module for $ℤ_{p}^{2}$ -extensions;Fujii, Satoshi;Interdiscip. Inf. Sci.,2010

4. Iwasawa $λ$ -invariants of imaginary quadratic fields;Fukuda, T.;J. College Industrial Technology Nihon Univ.,1994

5. The Iwasawa invariants of $Γ$ -extensions of a fixed number field;Greenberg, Ralph;Am. J. Math.,1973

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