Characterized By The Same Level Of The Projective Special Linear Group Homomorphism On The 2 Domain

Let F be a division ring, ChF denote the characteristic of F;GLn(F), SLn(F) (n ∈ Z+) denote the general linear group and the special linear group of degree n over F respectivly; PGLn(F),PSLn(F) denote the projective general linear group and the projective special linear group of degree n over F respectivly.In this paper, we use the methods and techinques of the matrix calculus etc. to determine the form of homomorphism of group from PSLn(F) to PSLn(K) with n ≥ 3(F ,K be fields) .