On even $K$-groups over $p$-adic Lie extensions of global function fields
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911137544536064 |
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| author | Lim, Meng Fai |
| author_facet | Lim, Meng Fai |
| contents | Let $p$ be a fixed prime number, and $F$ a global function field of characteristic not equal to $p$. In this paper, we shall study the growth of the Sylow $p$-subgroups of the even $K$-groups in a $p$-adic Lie extension of $F$, where the $p$-adic Lie extension is assumed to contain the cyclotomic $\mathbb{Z}_p$-extension of $F$. We also establish a duality between the direct limit and inverse limit of the even $K$-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15667 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On even $K$-groups over $p$-adic Lie extensions of global function fields Lim, Meng Fai Number Theory Let $p$ be a fixed prime number, and $F$ a global function field of characteristic not equal to $p$. In this paper, we shall study the growth of the Sylow $p$-subgroups of the even $K$-groups in a $p$-adic Lie extension of $F$, where the $p$-adic Lie extension is assumed to contain the cyclotomic $\mathbb{Z}_p$-extension of $F$. We also establish a duality between the direct limit and inverse limit of the even $K$-groups. |
| title | On even $K$-groups over $p$-adic Lie extensions of global function fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2407.15667 |