Torsion points of generalized Honda formal groups
DOI:
https://doi.org/10.21638/spbu01.2020.403Abstract
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.Keywords:
formal groups, torsion points
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References
Литература
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References
1. Honda T., “On the theory of commutative formal groups”, J. Math. Soc. Japan 22, 213–246 (1970).
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3. Demchenko O., “New relationship between formal Lubin — Tate groups and formal Honda groups”, St. Petersburg Math. J. 10 (5), 785–789 (1999).
4. Demchenko O. V., “Honda formal groups: the arithmetic of the group of points”, St. Petersburg Math. J. 12 (1), 101–115 (2001).
5. Demchenko O. V., “Formal groups over p-adic rings of integers with small ramification and distinguished isogenies”, St. Petersburg Math. J. 14 (3), 405–428 (2003).
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Published
2020-12-27
How to Cite
Demchenko, O. V., & Vostokov, S. V. (2020). Torsion points of generalized Honda formal groups. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7(4), 597–606. https://doi.org/10.21638/spbu01.2020.403
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Section
On the anniversary of S. V. Vostokov
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
