CROSSED MODULES, DOUBLE GROUP-GROUPOIDS AND CROSSED SQUARE

SEDAT TEMEL, Tunçar Şahan, Osman Mucuk

Abstract


The purpose of this paper is to obtain the notion of crossed modules over group-groupoids considering split extensions; and prove a categorical equivalence between these types of crossed modules and double group-groupoids. This equivalence enables us to produce various examples of double groupoids.

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