Liftings and covering morphisms of crossed modules in group-group oids
TURKISH JOURNAL OF MATHEMATICS, vol.45, no.3, pp.1407-1417, 2021 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 45 Issue: 3
- Publication Date: 2021
- Doi Number: 10.3906/mat-2102-56
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Page Numbers: pp.1407-1417
- Erciyes University Affiliated: Yes
Abstract
In this work we introduce lifting and covering of a crossed module in the category of group-group oids; and then we prove the categorical equivalence of horizontal actions of a double group-group oid and lifting crossed modules of corresponding crossed module in group-group oids. These allow us to produce more examples of double group-groupoids.