Geodesic
More about homological properties of precrossed modules
Homology, homotopy, and applications, Tome 2 (2000) no. 1, pp. 105-114.

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

Homology groups modulo $q$ of a precrossed $P$-module in any dimensions are defined in terms of nonabelian derived functors, where $q$ is a nonnegative integer. The Hopf formula is proved for the second homology group modulo $q$ of a precrossed $P$-module which shows that for $q=0$ our definition is a natural extension of Conduché and Ellis’ definition [CE]. Some other properties of homologies of precrossed $P$-modules are investigated.
DOI : 10.4310/HHA.2000.v2.n1.a7
Classification : 18G10, 18G50, 20J05
Keywords: precrossed module, Peiffer abelianization, homology group, nonabelian derived functor 
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Nick Inassaridze; Emzar Khmaladze. More about homological properties of precrossed modules. Homology, homotopy, and applications, Tome 2 (2000) no. 1, pp. 105-114. doi : 10.4310/HHA.2000.v2.n1.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2000.v2.n1.a7/

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