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.

中文翻译：

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广义本田形式群的扭转点

摘要

广义Honda形式组是形式组的一类，其中包括在\（{{\ mathbb {Q}} _ {p}} \）上弱分支的局部整数环上的所有形式组。该课程是可乘式正式小组-鲁宾-泰特正式小组-本田正式小组中的下一个小组。Lubin-Tate形式基团由显着的内同形[π] _F定义。本田形式群具有通过[π] _F分解的同构。在本文中，我们证明了对于广义Honda形式组，通过[π] _F构成了一系列独特的同构因子 。由于这一事实的应用，若干π的性质^Ñ证明了本田广义形式群的扭转点。