A note on Quadratic and Hermitian Groups
Abstract
In this article we deduce an analogue of Quillen's Local-Global Principle for the elementary subgroup of the general quadratic group and the hermitian group. We show that the unstable K1-groups of the hermitian groups are nilpotent by abelian. This generalizes earlier results of A. Bak, R. Hazrat, N. Vavilov and etal..
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