Title: A Lyndon-Hochschild-Serre spectral sequence for certain homotopy
fixed point spectra
Author: Ethan S. Devinatz
AMS Subject Classification: 55N20, 55P43, 55T15
Address: Department of Mathematics, University of Washington, Box 354350,
Seattle, WA 98195
e-mail: devinatz@math.washington.edu
Abstract: Let H and K be closed subgroups of the n th Morava stabilizer
group with H normal in K. We construct a spectral sequence of the
expected form connecting the homotopy of the continuous homotopy H fixed points
of the Landweber exact spectrum E_n with the homotopy of the continuous
K fixed points of E_n. These continuous homotopy fixed point spectra
are the spectra constructed by Devinatz and Hopkins. This spectral sequence
turns out to be an Adams spectral sequence in an appropriate category of
module spectra.