The Cohomology of the Morava Stabilizer Group $\Bbb S_2$ at the Prime $3$ Vassily Gorbounov Stephen F. Siegel Peter Symonds We compute the cohomology of the Morava stabilizer group {\small $\Bbb S_2$} at the prime $3$ by resolving it by a free product ${\Bbb Z}/3*{\Bbb Z}/3$ and analyzing the ``relation module.''