Honda Formal Module in an Unramified p-Extension of a Local Field as a Galois Module

T. L. Hakobyan, S. V. Vostokov

Research output: Contribution to journalArticlepeer-review

Abstract

For a fixed rational prime number p, consider a chain of finite extensions of fields K0/ℚp, K/K0, L/K, and M/L, where K/K0 is an unramified extension and M/L is Galois extension with Galois group G. Suppose that a one-dimensional Honda formal group F over the ring OK relative to the extension K/K0 and a uniformizing element π ∈ K0 is given. This paper studies the structure of F(mM) as an OK0[G]-module for an unramified p-extension M/L provided that WF∩F(mL)=WF∩F(mM)=WFs for some s ≥ 1, where WF s is the πs-torsion and WF = ∪n=1 WF n is the complete π-torsion of a fixed algebraic closure Kalg of the field K.

Original languageEnglish
Pages (from-to)317-321
Number of pages5
JournalVestnik St. Petersburg University: Mathematics
Volume51
Issue number4
DOIs
StatePublished - 1 Oct 2018

Scopus subject areas

  • Mathematics(all)

Keywords

  • formal group
  • Galois module
  • local field
  • unramified extension

Fingerprint Dive into the research topics of 'Honda Formal Module in an Unramified p-Extension of a Local Field as a Galois Module'. Together they form a unique fingerprint.

Cite this