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On relations between 1-lines of Adams–Novikov spectral sequences modulo invariant prime ideals
Authors:Takeshi Torii
Institution:

Department of Applied Mathematics, Fukuoka University, Fukuoka 814-0180, Japan

Abstract:We have a ring homomorphism Θ from the cohomology of the extended Morava stabilizer group Gn with coefficients in Fw±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 ngreater-or-equal, slanted1 and for all primes p.
Keywords:Morava stabilizer group  Continuous cohomology  Formal group law
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