Crossed modules, double group-groupoids and crossed squares

Autor:	Temel, Sedat, Şahan, Tunçar, Mucuk, Osman
Rok vydání:	2018
Předmět:	Mathematics - Category Theory Mathematics - Algebraic Topology 20L05 22A22 18D35
Zdroj:	Filomat, 34 (6) 1755-1769 (2020)
Druh dokumentu:	Working Paper
DOI:	10.2298/FIL2006755T
Popis:	In this paper using split extensions of group-groupoids we obtain the notion of crossed modules over group-grouoids which are also called 2-groups and we prove a categorical equivalence of these types of crossed modules and double group-groupoids which are internal to the category of group-groupoids. This equivalence enables us to produce more examples of double groupoids. Comment: 15 pages, research paper, LaTeX2e, xypic
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.03978 Zobrazit plný text záznamu View this record from Arxiv