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

Part of: Algebraic number theory: global fields

Published online by Cambridge University Press:  22 January 2025

Meng Fai Lim Open the ORCID record for Meng Fai Lim [Opens in a new window]
Meng Fai Lim*
Affiliation:
School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, P. R. China
*
e-mail: limmf@ccnu.edu.cn
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Abstract

Let p be a fixed prime number, and let F be a global function field with characteristic not equal to p. In this article, we shall study the variation properties of the Sylow p-subgroups of the even K-groups in a p-adic Lie extension of F. When the p-adic Lie extension is assumed to contain the cyclotomic $\mathbb {Z}_p$-extension of F, we obtain growth estimate of these groups. We also establish a duality between the direct limit and inverse limit of the even K-groups.

Keywords

Global function fieldseven K-groupsp-adic Lie extensions

MSC classification

Primary: 11R23: Iwasawa theory 11R70: $K$-theory of global fields 11R34: Galois cohomology

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Type
Article
Information
Canadian Mathematical Bulletin , Volume 68 , Issue 3 , September 2025 , pp. 729 - 743
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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