A Lyndon-Hochschild-Serre spectral sequence for certain homotopy fixed point spectra

Author:
Ethan S. Devinatz

Translated by:

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

Published electronically:
January 23, 2004

MathSciNet review:
2098089

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Abstract | References | Similar Articles | Additional Information

Abstract: Let and be closed subgroups of the extended Morava stabilizer group and suppose that is normal in . We construct a strongly convergent spectral sequence

where and 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 -local -modules.

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Additional Information

**Ethan S. Devinatz**

Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195

Email:
devinatz@math.washington.edu

DOI:
https://doi.org/10.1090/S0002-9947-04-03394-X

Keywords:
Adams spectral sequence,
continuous homotopy fixed point spectra,
Morava stabilizer group

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.

Article copyright:
© Copyright 2004
American Mathematical Society