TY - JOUR
T1 - On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals
AU - Torii, Takeshi
PY - 2005/5/14
Y1 - 2005/5/14
N2 - 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.
AB - 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.
KW - Continuous cohomology
KW - Formal group law
KW - Morava stabilizer group
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U2 - 10.1016/j.topol.2004.10.004
DO - 10.1016/j.topol.2004.10.004
M3 - Article
AN - SCOPUS:17444398171
SN - 0166-8641
VL - 150
SP - 33
EP - 57
JO - Topology and its Applications
JF - Topology and its Applications
IS - 1-3
ER -