Abstract
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.
Lingua originale | English |
---|---|
pagine (da-a) | 145-167 |
Numero di pagine | 23 |
Rivista | Homology, Homotopy and Applications |
Volume | 8 |
Stato di pubblicazione | Published - 2006 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2601???