Pushouts of Pronite Crossed Modules and cat 1 -pronite groups

In this paper, we presented a brief review of crossed modules [7], cat 1 -groups [6], pullback crossed modules [4], pullback cat 1 -group [1], pronite crossed modules [5], cat 1 -pronite groups [5], pullback pronite crossed modules [5], pullback cat 1 pronite groups [3]. We dened the pushout cat 1 -pronite groups and gave the left adjoint constructions.