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On pseudo-isomorphism classes of tamely ramified Iwasawa modules over imaginary quadratic fields

Volume 180 / 2017

Takenori Kataoka Acta Arithmetica 180 (2017), 171-182 MSC: Primary 11R23; Secondary 11R29. DOI: 10.4064/aa170127-27-4 Published online: 30 August 2017

Abstract

We determine, under some conditions, the pseudo-isomorphism classes of the tamely ramified Iwasawa modules for the $\mathbb Z_p^2$-extension of an imaginary quadratic field. Moreover, we deduce a result for $\mathbb Z_p$-extensions. This work is motivated by a study of Itoh–Mizusawa–Ozaki which essentially determines the pseudo-isomorphism classes of the tamely ramified Iwasawa modules for the cyclotomic $\mathbb Z_p$-extension of the field $\mathbb Q$ of rational numbers.

Authors

  • Takenori KataokaGraduate School of Mathematical Sciences
    The University of Tokyo
    3-8-1 Komaba Meguro-ku
    Tokyo 153-8914, Japan
    e-mail

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