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.
|Numero di pagine||23|
|Rivista||Homology, Homotopy and Applications|
|Stato di pubblicazione||Published - 2006|
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