Geodesic
On even K-groups over p-adic Lie extensions of global function fields
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 729-743

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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.
DOI : 10.4153/S0008439525000049
Mots-clés : Global function fields, even K-groups, p-adic Lie extensions 
Lim, Meng Fai. On even K-groups over p-adic Lie extensions of global function fields. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 729-743. doi: 10.4153/S0008439525000049
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     author = {Lim, Meng Fai},
     title = {On even {K-groups} over p-adic {Lie} extensions of global function fields},
     journal = {Canadian mathematical bulletin},
     pages = {729--743},
     year = {2025},
     volume = {68},
     number = {3},
     doi = {10.4153/S0008439525000049},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000049/}
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