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Published June 1970 | public
Journal Article

On the 1-cohomology of the general and special linear groups


In this paper we discuss the functional equation f(ab) = f(a) + a(f(b)) which arises in connection with the l-cohomology of the general linear group over a field F acting as inner automorphisms on the full matrix algebra of the same degree.

Additional Information

© 1970 Springer. Received April 16, 1968 and in revised form August 25, 1970. This author's work was supported (in part) by NSF grants at the California Institute of Technology and by grant DA-31-124ARG(D)-355 at UCLA. This author's work was supported (in part) by NSF grant 5591, and by the Office of Naval Research. The authors wish to express thanks for helpful criticism to J. Neubüser.

Additional details

August 19, 2023
October 20, 2023