Comparing direct limit and inverse limit of even $K$-groups in multiple $\mathbb{Z}_p$-extensions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909388323684352 |
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| author | Lim, Meng Fai |
| author_facet | Lim, Meng Fai |
| contents | Iwasawa first established a duality relating the direct limit and the inverse limit of class groups in a $\mathbb{Z}_p$-extension, and this result has recently been extended to multiple $\mathbb{Z}_p$-extensions by many authors. In this paper, we establish an analogous duality for the direct limit and the inverse limit of higher even $K$-groups in a $\mathbb{Z}_p^d$-extension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_10059 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Comparing direct limit and inverse limit of even $K$-groups in multiple $\mathbb{Z}_p$-extensions Lim, Meng Fai Number Theory Iwasawa first established a duality relating the direct limit and the inverse limit of class groups in a $\mathbb{Z}_p$-extension, and this result has recently been extended to multiple $\mathbb{Z}_p$-extensions by many authors. In this paper, we establish an analogous duality for the direct limit and the inverse limit of higher even $K$-groups in a $\mathbb{Z}_p^d$-extension. |
| title | Comparing direct limit and inverse limit of even $K$-groups in multiple $\mathbb{Z}_p$-extensions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2209.10059 |