Abstract : The Morava stabilizer groups play a dominating role in chromatic stable ho-
motopy theory. In fact, for suitable spectra X, for example all finite spectra, the
chromatic homotopy type of X at chromatic level n > 0 and a given prime p is
largely controlled by the continuous cohomology of a certain p-adic Lie group Gn,
in stable homotopy theory known under the name of Morava stabilizer group of
level n at p, with coefficients in the corresponding Morava module (En)∗X.