Split extensions, semidirect product and holomorph of categorical groups

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

Split extensions, semidirect product and holomorph of categorical groups

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

Matematica e Informatica

Risultato della ricerca: Article › peer 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 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

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

@article{84bd2f78574a4772b043a882a4f1fd7d,

title = "Split extensions, semidirect product and holomorph of categorical groups",

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.",

author = "Giuseppe Metere and Stefano Kasangian and Giuseppe Metere and Vitale, {Enrico M.}",

year = "2006",

language = "English",

volume = "8",

pages = "145--167",

journal = "Homology, Homotopy and Applications",

issn = "1532-0073",

publisher = "International Press of Boston, Inc.",

}

TY - JOUR

T1 - Split extensions, semidirect product and holomorph of categorical groups

AU - Metere, Giuseppe

AU - Kasangian, Stefano

AU - Metere, Giuseppe

AU - Vitale, Enrico M.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/74828

M3 - Article

VL - 8

SP - 145

EP - 167

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

ER -