Further remarks on group-2-groupoids





crossed module, group-groupoid, 2-groupoid


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.


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Author Biography

Sedat Temel, Recep Tayyip Erdogan University

Department of Mathematics


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How to Cite

S. Temel, “Further remarks on group-2-groupoids”, Appl. Gen. Topol., vol. 22, no. 1, pp. 31–46, Apr. 2021.



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