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arXiv · 2407.15667

On even $K$-groups over $p$-adic Lie extensions of global function fields

Meng Fai Lim
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Abstract

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.

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Meng Fai Lim. 2024-07-22. On even $K$-groups over $p$-adic Lie extensions of global function fields. https://doi.org/10.4153/s0008439525000049

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