Hermitian Groups and K-Theory

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Abstract

This article provides the fundamental constructions and results for Hermitian groups which are necessary for an algebraic understanding of the functors K1 and K2 of Hermitian forms. These include a definition of the elementary subgroup EH of a general Hermitian group GH, the Hermitian Whitehead lemma for stabilized GH, a definition of the Hermitian Steinberg group, and the theorem that a stabilized Steinberg group is the universal central extension of its associated stabilized elementary group.

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