title: Calculations in generalised Lubin—Tate theory
metadata.name: dc.contributor.author
metadata.value: Vostokov, Sergei V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Leonova, Ekaterina O.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T13:54:24Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T13:54:24Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vostokov S. V., Leonova E. O. Calculations in generalised Lubin—Tate theory. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 210–216.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17929
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we study different extensions of local fields. For an arbitrary finite extension
  of the field of p-adic numbers K/Qp it is possible to describe, using the famous Lubin—Tate
  theory, its maximal abelian extension Kab/K and the corresponding Galois group. It is a
  Cartesian product of the groups appearing from the maximal unramified extension of K and
  a fully ramified extension obtained using the roots of some endomorphisms of the Lubin—
  Tate formal groups. Here, we are going to consider so-called generalised Lubin—Tate formal
  groups and the extensions that appear after adding the roots of their isomorphisms to
  the initial field. Using the fact that for a finite unramified extension Tm of degree m of
  the field K one of such formal groups coincides with a classical one, it became possible
  to obtain the Galois group of the extension (Tm)ab/K. The main result of the paper is
  explicit description of the Galois group of the extension (Kur)ab/K, where Kur is the
  maximal unramified extension of the field K. We also applied similar methods to the study
  of ramified extensions of K.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Science Foundation (grant N16-11-10200).
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: maximal unramified extension
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal group law
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Calculations in generalised Lubin—Tate theory
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 210-216.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17929/1/210-216.pdf
resources.format: Adobe PDF
resources.size: 304 kB