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

Taussky, Olga and Zassenhaus, Hans (1970) On the 1-cohomology of the general and special linear groups. Aequationes Mathematicae, 5 (2-3). pp. 129-201. ISSN 0001-9054. https://resolver.caltech.edu/CaltechAUTHORS:20201022-100904052

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Abstract

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.


Item Type:Article
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URLURL TypeDescription
https://doi.org/10.1007/bf01818441DOIArticle
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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.
Funders:
Funding AgencyGrant Number
UNSPECIFIEDDA-31-124ARG(D)-355
NSF5591
Office of Naval Research (ONR)UNSPECIFIED
Issue or Number:2-3
Record Number:CaltechAUTHORS:20201022-100904052
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201022-100904052
Official Citation:Taussky, O., Zassenhaus, H. On the 1-cohomology of the general and special linear groups. Aeq. Math. 5, 129–201 (1970). https://doi.org/10.1007/BF01818441
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106206
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Oct 2020 22:06
Last Modified:22 Oct 2020 22:06

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