New York Journal of Mathematics
Volume 28 (2022), 523-533


Satoshi Fujii

On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

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Published: March 9, 2022.
Keywords: Unramified Iwasawa modules, Greenberg's generalized conjecture.
Subject: 11R23.

Let p be a prime number. We show that, there exists an infinite family of imaginary abelian fields such that, the Iwasawa module of the maximal multiple Zp-extension is non trivial and pseudo-null for each field in the family. We also discuss on an application to non-abelian Iwasawa theory in the sense of Ozaki.


This research was partly supported by JSPS KAKENHI Grant Numbers JP18K03259, JP19H01783.

Author information

Satoshi Fujii:
Faculty of Education
Shimane University
1060 Nishikawatsucho
Matsue, Shimane, 690--8504, Japan