Geodesic
Split extensions, semidirect product and holomorph of categorical groups
Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 145-167.

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

Working in the context of categorical groups, we show that the semidirect product provides a biequivalence between actions and points. From this biequivalence, we deduce a two-dimensional classification of split extensions of categorical groups, as well as the universal property of the holomorph of a categorical group. We also discuss the link between the holomorph and inner autoequivalences.
DOI : 10.4310/HHA.2006.v8.n1.a4
Classification : 18D05, 18D10, 18D35, 18G50
Keywords: categorical groups, semidirect product, split extensions, holomorph 
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Stefano Kasangian; Giuseppe Metere; Enrico M. Vitale. Split extensions, semidirect product and holomorph of categorical groups. Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 145-167. doi : 10.4310/HHA.2006.v8.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a4/

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