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

We have a ring homomorphism Θ from the cohomology of the extended Morava stabilizer group G n with coefficients in F [ w ± 1 ] to the cohomology of G n + 1 with coefficients in the graded field F ( ( u n ) ) [ u ± 1 ] . In this note we study the behavior of Θ on H 1 . Then it is shown that Θ is inje...

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Bibliographic Details
Published inTopology and its applications Vol. 150; no. 1; pp. 33 - 57
Main Author Torii, Takeshi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 14.05.2005
Subjects
Continuous cohomology
Formal group law
Morava stabilizer group
Formal group law
55Q51
Morava stabilizer group
55N22
20J06
Continuous cohomology
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Summary:We have a ring homomorphism Θ from the cohomology of the extended Morava stabilizer group G n with coefficients in F [ w ± 1 ] to the cohomology of G n + 1 with coefficients in the graded field F ( ( u n ) ) [ u ± 1 ] . In this note we study the behavior of Θ on H 1 . Then it is shown that Θ is injective on H 1 for n ⩾ 1 and for all primes p.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2004.10.004