On centrality of $K_2$ for Chevalley groups of type $E_l$

For a root system $Φ$ of type $E_l$ and arbitrary commutative ring $R$ we show that the group $K_2(Φ, R)$ is contained in the centre of the Steinberg group $St(Φ, R)$. In course of the proof we also demonstrate an analogue of Quillen---Suslin local-global principle for $K_2(Φ, R)$.

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