Crossed Modules, Double Group-Groupoids and Crossed Squares
FILOMAT, cilt.34, sa.6, ss.1755-1769, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 6
- Basım Tarihi: 2020
- Doi Numarası: 10.2298/fil2006755t
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.1755-1769
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
The purpose of this paper is to obtain the notion of crossed module over group-groupoids considering split extensions and prove a categorical equivalence between these types of crossed modules and double group-groupoids. This equivalence enables us to produce various examples of double groupoids. We also prove that crossed modules over group-groupoids are equivalent to crossed squares.