Torsion Points of Generalized Honda Formal Groups

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Torsion Points of Generalized Honda Formal Groups. / Demchenko, O. V.; Vostokov, S. V.

In: Vestnik St. Petersburg University: Mathematics, Vol. 53, No. 4, 10.2020, p. 404-411.

Research output: Contribution to journal › Article › peer-review

Author

Demchenko, O. V. ; Vostokov, S. V. / Torsion Points of Generalized Honda Formal Groups. In: Vestnik St. Petersburg University: Mathematics. 2020 ; Vol. 53, No. 4. pp. 404-411.

BibTeX

@article{a66f6cbc4c1642258584094420c72a7d,

title = "Torsion Points of Generalized Honda Formal Groups",

abstract = "Abstract: Generalized Honda formal groups are a class of formal groups, which includes all formal groups over the ring of integers of local fields weakly ramified over Qp. This class is the next in the chain multiplicative formal group–Lubin-Tate formal groups–Honda formal groups. The Lubin-Tate formal groups are defined by distinguished endomorphisms [π]F. Honda formal groups have distinguished homomorphisms that factor through [π]F. In this article, we prove that for generalized Honda formal groups, the composition of a sequence of distinguished homomorphisms factors through [π]F. As an application of this fact, a number of properties of πn-torsion points of the generalized Honda formal group are proved.",

keywords = "formal groups, torsion points",

author = "Demchenko, {O. V.} and Vostokov, {S. V.}",

note = "Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd.",

year = "2020",

month = oct,

doi = "10.1134/S1063454120040044",

language = "English",

volume = "53",

pages = "404--411",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Torsion Points of Generalized Honda Formal Groups

AU - Demchenko, O. V.

AU - Vostokov, S. V.

PY - 2020/10

Y1 - 2020/10

N2 - Abstract: Generalized Honda formal groups are a class of formal groups, which includes all formal groups over the ring of integers of local fields weakly ramified over Qp. This class is the next in the chain multiplicative formal group–Lubin-Tate formal groups–Honda formal groups. The Lubin-Tate formal groups are defined by distinguished endomorphisms [π]F. Honda formal groups have distinguished homomorphisms that factor through [π]F. In this article, we prove that for generalized Honda formal groups, the composition of a sequence of distinguished homomorphisms factors through [π]F. As an application of this fact, a number of properties of πn-torsion points of the generalized Honda formal group are proved.

AB - Abstract: Generalized Honda formal groups are a class of formal groups, which includes all formal groups over the ring of integers of local fields weakly ramified over Qp. This class is the next in the chain multiplicative formal group–Lubin-Tate formal groups–Honda formal groups. The Lubin-Tate formal groups are defined by distinguished endomorphisms [π]F. Honda formal groups have distinguished homomorphisms that factor through [π]F. In this article, we prove that for generalized Honda formal groups, the composition of a sequence of distinguished homomorphisms factors through [π]F. As an application of this fact, a number of properties of πn-torsion points of the generalized Honda formal group are proved.

KW - formal groups

KW - torsion points

UR - http://www.scopus.com/inward/record.url?scp=85102017762&partnerID=8YFLogxK

U2 - 10.1134/S1063454120040044

DO - 10.1134/S1063454120040044

M3 - Article

AN - SCOPUS:85102017762

VL - 53

SP - 404

EP - 411

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 88387537