On centrality of K-2 for Chevalley groups of type E-l

摘要

For a root system Phi of type E-l and arbitrary commutative ring R we show that the group K-2(Phi, R) is contained in the center of the Steinberg group St(Phi, R). In course of the proof we also demonstrate an analogue of Quillen Suslin local global principle for K-2(Phi, R). (C) 2015 Elsevier B.V. All rights reserved.