title: Hazewinkel functional lemma and formal groups classification
metadata.name: dc.contributor.author
metadata.value: Madunts, Alexandra I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T17:12:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T17:12:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Madunts A. I. Hazewinkel functional lemma and formal groups classification. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 245–253.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.207
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17937
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: There are two approaches to the construction of formal groups. The functional lemma
  proved by Hazewinkel allows to make formal groups with coefficients from a ring of zero
  characteristic by means of the functional equations using a certain ideal of this ring, overfield
  and a ring homomorphism with certain properties (for example, identical, and for a local
  field the Frobenius homomorphism can be chosen). There is a convenient criterion for the
  isomorphism of formal groups constructed by Hazewinkel’s formula, as well as a formula for
  logarithms (in particular, the Artin—Hasse logarithm). At the same time, Lubin and Tate
  construct formal groups over local fields using isogeny, and Honda construct formal groups
  over discrete normalized ring of characteristic fields, introduces a certain noncommutative
  ring induced by the original ring and a fixed homomorphism. The paper establishes a
  connection between the classical classification of formal groups (standard, generalized and
  relative formal Lubin—Tate groups and formal Honda groups) and their classification using
  the Hazewinkel functional lemma. For each type, the corresponding functional equations
  are compiled and logarithms are studied, as well as series that use for construction the
  Hilbert symbol explicit formula.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: local fields
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal groups
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hilbert symbol
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hazewinkel classification
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Hazewinkel functional lemma and formal groups classification
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 245-253.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17937/1/245-253.pdf
resources.format: Adobe PDF
resources.size: 298,18 kB