On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals

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We have a ring homomorphism Θ from the cohomology of the extended Morava stabilizer group Gn with coefficients in F[w±1] to the cohomology of Gn+1 with coefficients in the graded field F((un)) [u±1]. In this note we study the behavior of Θ on H1. Then it is shown that Θ is injective on H1 for n ≥ 1 and for all primes p.

Original languageEnglish
Pages (from-to)33-57
Number of pages25
JournalTopology and its Applications
Issue number1-3
Publication statusPublished - May 14 2005
Externally publishedYes



  • Continuous cohomology
  • Formal group law
  • Morava stabilizer group

ASJC Scopus subject areas

  • Geometry and Topology

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