Crossed extensions-Reference-Cited by-同舟云学术

Crossed extensions

Published:1980 Issue:1 Volume:257 Page:73-89
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ratcliffe John G.

Abstract

We develop a natural five term exact sequence relating the second and third cohomology of groups. We show that this sequence is the proper framework for the problem of realizing an abstract kernel. As an application, we give an interpretation of the third cohomology of a group in terms of crossed sequences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1980-257-01/S0002-9947-1980-0549155-0/S0002-9947-1980-0549155-0.pdf

Reference16 articles.

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3. Cohomology theory in abstract groups. II. Group extensions with a non-Abelian kernel;Eilenberg, Samuel;Ann. of Math. (2),1947

4. Homology of spaces with operators. II;Eilenberg, Samuel;Trans. Amer. Math. Soc.,1949

5. Extensions de groupes et paires croisées;Huebschmann, Johannes;C. R. Acad. Sci. Paris S\'{e}r. A-B,1977

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