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.
Keywords: Crossed module, group-groupoid, double group-groupoid, action, covering morphism
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