We compute recursive approximations of the action of the height \(h \geq 2\) Morava stabilizer group on the associated Lubin-Tate deformation ring. We then specialize to the case \(h=3\) and \(p>2\) to calculate the action explicitly. These results are new for \(h>2\) and agree with computations by Lader at height \(h=2\).
Homological stability: a tool for computations
A resolution of the K(2)-local sphere at the prime 3
A computation of H^1(Γ, H_1(Σ))
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