Geodesic
On totally free crossed modules
Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 323-332

Voir la notice de l'article provenant de la source Cambridge University Press

In [10] we associate to a crossed module (T, G, მ) an invariant abelian crossed module H2(T, G, მ). The construction uses presentations by Set-free crossed modules. Now, Set-free crossed modules are special cases of totally free crossed modules, which are algebraic models of 2-dimensional CW complexes used by several authors (see [1] and [6]). The aim of this paper is to show that H2(T, G, მ) can also be constructed from presentations by arbitrary totally free crossed modules. 
R.-Grandjean, A.; Ladra, M. On totally free crossed modules. Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 323-332. doi: 10.1017/S0017089500032675
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