Access the full text.
Sign up today, get DeepDyve free for 14 days.
K. Tan (2014)
Selmer groups over $${\mathbb {Z}}_p^d$$Zpd-extensionsMathematische Annalen, 359
S. Kaplan (1950)
Extensions of the Pontrjagin duality II: Direct and inverse sequencesDuke Mathematical Journal, 17
R. Greenberg (2001)
Iwasawa Theory — Past and Present
David Vauclair (2008)
Sur la dualite et la descente d'IwasawaAnnales de l'Institut Fourier, 59
K. Iwasawa (1973)
On Z l -Extensions of Algebraic Number FieldsAnnals of Mathematics, 98
K. Tan (2010)
A generalized Mazur's theorem and its applicationsTransactions of the American Mathematical Society, 362
William McCallum (2000)
Greenberg's conjecture and units in multiple Z_p-extensionsarXiv: Number Theory
R. Greenberg (1976)
On the Iwasawa Invariants of Totally Real Number FieldsAmerican Journal of Mathematics, 98
K. Iwasawa (1983)
On Cohomology Groups of Units for Z p -ExtensionsAmerican Journal of Mathematics, 105
K. Tan (2012)
Selmer groups over Z d p -extensionsarXiv: Number Theory
P. Monsky (1981)
Onp-adic power seriesMathematische Annalen, 255
B. Dragovich (2004)
On p-Adic Power SeriesarXiv: Mathematical Physics
Hiroshi Yamashita (1984)
THE SECOND COHOMOLOGY GROUPS OF THE GROUP OF UNITS OF A {Z_p}-EXTENSIONTohoku Mathematical Journal, 36
(2006)
Selmer complexes
B. Perrin-Riou (1984)
Arithmétique des courbes elliptiques et théorie d'Iwasawa, 17
Hiroshi Suzuki (1991)
A generalization of Hubert’s theorem 94Nagoya Mathematical Journal, 121
A. Bandini (2007)
Greenberg's conjecture and capitulation in Zpd-extensionsJournal of Number Theory, 122
K. Lai, I. Longhi, K. Tan, Fabien Trihan (2014)
Pontryagin duality for Iwasawa modules and abelian varietiesTransactions of the American Mathematical Society, 370
We generalize a theorem of Iwasawa on capitulation kernels of class groups over Zp\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${{\mathbb {Z}}}_p$$\end{document}-extensions of number fields to all Zpd\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${{\mathbb {Z}}}_p^d$$\end{document}-extensions and discuss some of its applications.
Research in the Mathematical Sciences – Springer Journals
Published: Mar 29, 2021
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.