Abstract
Generalized Honda formal groups are a class of formal groups, which includes all formal groups over the ring of integers of local fields weakly ramified over \({{\mathbb{Q}}_{p}}\). This class is the next in the chain multiplicative formal group–Lubin-Tate formal groups–Honda formal groups. The Lubin-Tate formal groups are defined by distinguished endomorphisms [π]F. Honda formal groups have distinguished homomorphisms that factor through [π]F. In this article, we prove that for generalized Honda formal groups, the composition of a sequence of distinguished homomorphisms factors through [π]F . As an application of this fact, a number of properties of πn-torsion points of the generalized Honda formal group are proved.
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Funding
This study was supported by the Russian Science Foundation, project no. 16-11-10200.
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Translated by O. Pismenov
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Demchenko, O.V., Vostokov, S.V. Torsion Points of Generalized Honda Formal Groups. Vestnik St.Petersb. Univ.Math. 53, 404–411 (2020). https://doi.org/10.1134/S1063454120040044
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DOI: https://doi.org/10.1134/S1063454120040044