摘要
The author studies the stabilization for the unitary groups over polynomial rings and obtainsfor them some results analogous to the results of linear groups and symplectic groups.It isespecially proved that K1 U(A) = K1 U(R) where A = R[X1,…, Xm], R is a ring of algebraicintegers in a quadratic field Q().
基金
Zf)7w'.ByProposition2.1,a(a4&Zf)EEUZ.(R.[Z],ZR.[Z]).ByLemma2.4,wehaveJ(a4&Zf)EEUZ.(aR.[Z]).Soa(a4&Zf)EEUZ.(R.[Z],ZR.IZ])nEUZ.(aR.[ZI).Thereforea(a4^Zf)isaproductofafinitenumberofelemelltarymatrices
