Stability for HermitianK1

The general Hermitian group GH2n and its elementary subgroup EH2n are the analogs in the theory of Hermitian forms of the general linear group GLn and its elementary subgroup En. This article proves that the canonical map GH2n/EH2n→GH2(n+1)/EH2(n+1) is an isomorphism whenever n is large with respect to a suitable stable range condition for rings with involution.