| 摘 要： | <正> Let K be a skew field and Z be its center.The multiplicative groups of non-zero ele-ments of K and Z are denoted by K~* and Z~* respectively.Denote by GL_2(K) the groupof all 2×2 matrices over K and by PGL_2(K) the factor group of GL_2(K) modulo its ce-nter consisting of all elements of the form γI,where γ∈Z~* and I is the 2×2 identitymatrix.If K is commutative or is of characteristic≠0 the automorphisms of PGL_2(K)are already determined.In the present paper,we'll determine the automorphisms of PGL_2(K)
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