Split extensions, semidirect product and holomorph of categorical groups

Giuseppe Metere, Stefano Kasangian, Giuseppe Metere, Enrico M. Vitale

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

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 originaleEnglish
pagine (da-a)145-167
Numero di pagine23
RivistaHomology, Homotopy and Applications
Volume8
Stato di pubblicazionePublished - 2006

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Fingerprint Entra nei temi di ricerca di 'Split extensions, semidirect product and holomorph of categorical groups'. Insieme formano una fingerprint unica.

Cita questo