A Lyndon-Hochschild-Serre spectral sequence for certain homotopy fixed point spectra
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- by Ethan S. Devinatz PDF
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Abstract:
Let $H$ and $K$ be closed subgroups of the extended Morava stabilizer group $G_n$ and suppose that $H$ is normal in $K$. We construct a strongly convergent spectral sequence \[ H^\ast _c(K/H, (E^{hH}_n)^\ast X) \Rightarrow (E^{hK}_n)^\ast X, \] where $E^{hH}_n$ and $E^{hK}_n$ are the continuous homotopy fixed point spectra of Devinatz and Hopkins. This spectral sequence turns out to be an Adams spectral sequence in the category of $K(n)_\ast$-local $E^{hK}_n$-modules.References
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Additional Information
- Ethan S. Devinatz
- Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
- Email: devinatz@math.washington.edu
- Received by editor(s): September 13, 2002
- Received by editor(s) in revised form: May 21, 2003
- Published electronically: January 23, 2004
- Additional Notes: The author was partially supported by a grant from the National Science Foundation.
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 129-150
- MSC (2000): Primary 55N20; Secondary 55P43, 55T15
- DOI: https://doi.org/10.1090/S0002-9947-04-03394-X
- MathSciNet review: 2098089