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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.03759 |
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| _version_ | 1866909219012214784 |
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| author | Fujii, Satoshi |
| author_facet | Fujii, Satoshi |
| contents | Let $p$ be a prime number. By a result of Ozaki, the capitulations of ideals in ${\Bbb Z}_p$-extensions and the finite submodules of Iwasawa modules are closely related. In this article, we discuss this relationship in ${\Bbb Z}_p^d$-extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On capitulations and pseudo-null submodules in certain ${\Bbb Z}_p^d$-extensions Fujii, Satoshi Number Theory Let $p$ be a prime number. By a result of Ozaki, the capitulations of ideals in ${\Bbb Z}_p$-extensions and the finite submodules of Iwasawa modules are closely related. In this article, we discuss this relationship in ${\Bbb Z}_p^d$-extensions. |
| title | On capitulations and pseudo-null submodules in certain ${\Bbb Z}_p^d$-extensions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.03759 |