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) = ...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().展开更多
文摘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().