Dimension theory and nonstable K1 of quadratic modules

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Odd Unitary Groups (2005, background): “See [21, Theorem 3] for the case of orthogonal groups, [22] for the case of symplectic groups, [18] for the case of Chevalley groups, and [9, Theorem 1.1], [ 11, Theorem 4.4 ] and [23, Theorem 1.1] for the case of quadratic”
K1 of Chevalley groups are nilpotent (2003, methodology): “In fact, the paper [7] by the first author supplies all the details for the more general case of unitary groups over a form ring.”
Localization–completion strikes again: Relative K1 is nilpotent by abelian (2009, methodology): “In [18] and [19] the second and the third authors addressed extensions of these results to unitary groups over form rings and to Chevalley groups over commutative rings.”
Structure of Chevalley groups over rings via universal localization (2013, methodology): “ by A.Mason and W.Stothers [25]. That is why we use an axiomatic notion of dimension function istead of actual dimension of a ring. The set of axioms is similar to those of dimension fuction of A.Bak [6, 13] for a particular kind of infrastructure and structure squares. Deﬁnition 12.1. Let δ= δG be ”