Abstract
We show finiteness results on torsion points of commutative algebraic groups over a $p$-adic field $K$ with values in various algebraic extensions $L/K$ of infinite degree. We mainly study the following cases: (1) $L$ is an abelian extension which is a splitting field of a crystalline character (such as a Lubin–Tate extension). (2) $L$ is a certain iterate extension of $K$ associated with points on Lubin–Tate formal groups.
Funding Statement
This work is supported by JSPS KAKENHI Grant Number JP19K03433.
Citation
Yoshiyasu OZEKI. "Torsion of algebraic groups and iterate extensions associated with Lubin–Tate formal groups." J. Math. Soc. Japan 75 (2) 735 - 759, April, 2023. https://doi.org/10.2969/jmsj/87238723
Information