局部环R上PO_(n)(V)的自同构

Automorphisms of PO_(n)(v) Over Local Ring R

设表示局部环，是的极大理想，是上维对称内积空间，假设≥5。的双曲秩≥1，2，3，5是中的单位。本文利用域上正交群射影自同构中区分对合的结果，证明了局部环上的自同构把1对合变为1对合，从而得出了在本文所设条件之下，局部环上的自同构具有标准形式。

Suppose R is local ring,m is the masimal idea of R,V is n dimensional symmetrical regular space over R, n≥5.Hyperbolic ratk≥1,2,3,5 ane units in R and is an auto mor phism of pon(v),this paper making use of result of distinguishing in volutious in the auto morphism of projective orthogonal group ouer field,we have proved that sends 1-involutions to 1-in volutions and also have proved that there is a semilinear auto morphism. is an auto morphism of pon(v).