Liftings and covering morphisms of crossed modules in group-groupoids

Authors

SERAP DEMİR KARAKAŞ
OSMAN MUCUK

DOI

10.3906/mat-2102-56

Abstract

In this work we introduce lifting and covering of a crossed module in the category of group-groupoids; and then we prove the categorical equivalence of horizontal actions of a double group-groupoid and lifting crossed modules of corresponding crossed module in group-groupoids. These allow us to produce more examples of double group-groupoids.

Keywords

Crossed module, group-groupoid, double group-groupoid, action, covering morphism

First Page

1407

Last Page

1417

Recommended Citation

KARAKAŞ, SERAP DEMİR and MUCUK, OSMAN (2021) "Liftings and covering morphisms of crossed modules in group-groupoids," Turkish Journal of Mathematics: Vol. 45: No. 3, Article 20. https://doi.org/10.3906/mat-2102-56
Available at: https://journals.tubitak.gov.tr/math/vol45/iss3/20