Geodesic
On low-dimensional homology in categories
Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 275-293.

Voir la notice de l'article provenant de la source International Press of Boston

The classical Stallings-Stammbach five-term exact sequence associated with a short exact sequence of groups is shown to exist in a general categorical context. This makes it possible to establish a new result relating low-dimensional homology and central series, which extends a well known result from the theory of groups.
DOI : 10.4310/HHA.2007.v9.n1.a12
Classification : 18G50, 20F14, 55N20
Keywords: homology, category theory, Hopf formula, central series 
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Tomas Everaert; Marino Gran. On low-dimensional homology in categories. Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 275-293. doi : 10.4310/HHA.2007.v9.n1.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a12/

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