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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.
Received: 08.05.2020 Revised: 17.07.2020 Accepted: 18.07.2020
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
Linking options:
https://www.mathnet.ru/eng/vspua149 https://www.mathnet.ru/eng/vspua/v7/i4/p597
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