Geodesic
Multiple semidirect products of associative systems
Glasgow mathematical journal, Tome 31 (1989) no. 3, pp. 353-369

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

Suppose that a group G is the semidirect product of a subgroup N and a normal subgroup M. Then the elements of G have unique expressions mn (m ∈ M, n ∈ N) and the commutator functionmaps N x M into M. In fact there is an action (by automorphisms) of N on M given byConversely, if one is given an action of a group N on a group M then one can construct a semidirect product. 
Steiner, Richard. Multiple semidirect products of associative systems. Glasgow mathematical journal, Tome 31 (1989) no. 3, pp. 353-369. doi: 10.1017/S0017089500007916
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