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arXiv · 1802.03978

Crossed modules, double group-groupoids and crossed squares

Sedat Temel·Tunçar Şahan·Osman Mucuk
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Abstract

In this paper using split extensions of group-groupoids we obtain the notion of crossed modules over group-grouoids which are also called 2-groups and we prove a categorical equivalence of these types of crossed modules and double group-groupoids which are internal to the category of group-groupoids. This equivalence enables us to produce more examples of double groupoids.

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Sedat Temel, Tunçar Şahan, Osman Mucuk. 2018-02-12. Crossed modules, double group-groupoids and crossed squares. https://doi.org/10.2298/fil2006755t

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