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Satoshi Fujii
On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules
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print
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| Published: |
March 9, 2022. |
| Keywords: |
Unramified Iwasawa modules, Greenberg's generalized conjecture. |
| Subject: |
11R23. |
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Abstract
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.
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| Acknowledgements
This research was partly supported by JSPS KAKENHI Grant Numbers JP18K03259, JP19H01783.
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| Author information
Satoshi Fujii:
Faculty of Education
Shimane University
1060 Nishikawatsucho
Matsue, Shimane, 690--8504, Japan
fujiisatoshi@edu.shimane-u.ac.jp
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