Liftings and covering morphisms of crossed modules in group-groupoids

Authors

SERAP DEMİR KARAKAŞ
OSMAN MUCUK

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.

DOI

10.3906/mat-2102-56

Keywords

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

First Page

1407

Last Page

1417

Recommended Citation

KARAKAŞ, S. D, & MUCUK, O (2021). Liftings and covering morphisms of crossed modules in group-groupoids. Turkish Journal of Mathematics 45 (3): 1407-1417. https://doi.org/10.3906/mat-2102-56