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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020 Volume 7, Issue 4, Pages 597–606 (Mi vspua149)

This article is cited in 1 paper

ON THE ANNIVERSARY OF S. V. VOSTOKOV

Torsion points of generalized Honda formal groups

O. V. Demchenko, S. V. Vostokov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: 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 $Q_p$. 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 $[\pi]_F$ , Honda formal groups possess distinguished omomorphisms that factor through $[\pi]_F$ and in the present paper we prove that for generalized Honda formal groups it is compositions of distinguished homomorphisms that factor through $[\pi]_F$. As an application of this fact, some properties of $\pi^n$-torsion points of generalized Honda formal groups are studied.

Keywords: formal groups, torsion points.

UDC: 512.741.1

MSC: 14L05, 11S31

Received: 08.05.2020
Revised: 17.07.2020
Accepted: 18.07.2020

DOI: 10.21638/spbu01.2020.403


 English version:
Vestnik St. Petersburg University, Mathematics, 2020, 7:4, 404–411


© Steklov Math. Inst. of RAS, 2026