Open AccessTorsion points of generalized Honda formal groups
Author(s) -
Oleg Demchenko,
С. В. Востоков
Publication year - 2020
Publication title -
vestnik sankt-peterburgskogo universiteta. matematika. mehanika. astronomiâ/vestnik sankt-peterburgskogo universiteta. seriâ 1, matematika, mehanika, astronomiâ
Language(s) - English
Resource type - Journals
eISSN - 2587-5884
pISSN - 1025-3106
DOI - 10.21638/spbu01.2020.403
Subject(s) - formal group , mathematics , homomorphism , torsion (gastropod) , multiplicative function , pure mathematics , formal synthesis , formal description , algebra over a field , computer science , mathematical analysis , medicine , chemistry , stereochemistry , surgery , programming language
Generalized Honda formal groups are a new class of formal groups that in particular describes the formal groups over the ring of integers of local fields weakly ramified over Qp. It is the next class in the chain the multiplicative formal group — Lubin — Tate formal groups — Honda formal groups. Lubin — Tate formal groups are defined by distinguished endomorphisms [π]F , Honda formal groups possess distinguished omomorphisms that factor through [π]F and in the present paper we prove that for generalized Honda formal groups it is compositions of distinguished homomorphisms that factor through [π]F . As an application of this fact, some properties of πn-torsion points of generalized Honda formal groups are studied.