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.