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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)

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, 2024