Further remarks on group-2-groupoids
APPLIED GENERAL TOPOLOGY, vol.22, no.1, pp.31-46, 2021 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 1
- Publication Date: 2021
- Doi Number: 10.4995/agt.2021.13148
- Journal Name: APPLIED GENERAL TOPOLOGY
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals, DIALNET
- Page Numbers: pp.31-46
- Recep Tayyip Erdoğan University Affiliated: Yes
Abstract
The aim of this paper is to obtain a group-2-groupoid as a 2-groupoid object in the category of groups and also as a special kind of an internal category in the category of group-groupoids. Corresponding group-2-groupoids, we obtain some categorical structures related to crossed modules and group-groupoids and prove categorical equivalences between them. These results enable us to obtain 2-dimensional notions of group-groupoids.