Split extensions, semidirect product and holomorph of categorical groups
| Autor: | Giuseppe Metere, Enrico Vitale, Stefano Kasangian |
|---|---|
| Přispěvatelé: | Kasangian, S, Metere, G, Vitale, E, UCL - SC/MATH - Département de mathématique |
| Jazyk: | angličtina |
| Rok vydání: | 2006 |
| Předmět: |
Semidirect product
18D05 categorical groups Group (mathematics) split extensions split extension 18D10 Context (language use) 18G50 18D35 Algebra Mathematics (miscellaneous) Holomorph Mathematics::Category Theory holomorph Universal property semidirect product categorical group Link (knot theory) Categorical variable Mathematics |
| Zdroj: | Homology Homotopy Appl. 8, no. 1 (2006), 145-167 Homology, Homotopy and Applications, Vol. 8, no. 1, p. 145-167 (2006) |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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