In this study, we mainly show that the functor from the category X2Mod of 2‐crossed modules of groups to the category Groups of groups assigning to each 2‐crossed module
{}L,M,P,∂2,∂1 the group P, and to each 2‐crossed module morphism
()f2,f1,f0, the group homomorphism f0 is a fibration. In addition, we study some related properties.
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