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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, Volume 7, Issue 4, Pages 597–606
DOI: https://doi.org/10.21638/spbu01.2020.403
(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.
Funding agency Grant number
Russian Science Foundation 16-11-10200
This work was supported by Russian Science Foundation (grant no. 16-11-10200).
Received: 08.05.2020
Revised: 17.07.2020
Accepted: 18.07.2020
English version:
Vestnik St. Petersburg University, Mathematics, 2020, Volume 7, Issue 4, Pages 404–411
DOI: https://doi.org/10.1134/S1063454120040044
Document Type: Article
UDC: 512.741.1
MSC: 14L05, 11S31
Language: Russian
Citation: O. V. Demchenko, S. V. Vostokov, “Torsion points of generalized Honda formal groups”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:4 (2020), 597–606; Vestn. St. Petersbg. Univ., Math., 7:4 (2020), 404–411
Citation in format AMSBIB
\Bibitem{DemVos20}
\by O.~V.~Demchenko, S.~V.~Vostokov
\paper Torsion points of generalized Honda formal groups
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2020
\vol 7
\issue 4
\pages 597--606
\mathnet{http://mi.mathnet.ru/vspua149}
\crossref{https://doi.org/10.21638/spbu01.2020.403}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2020
\vol 7
\issue 4
\pages 404--411
\crossref{https://doi.org/10.1134/S1063454120040044}
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