On the center and automorphisms of crossed modules

The term crossed module was introduced by J. H. C. Whitehead in his work on combinatorial homotopy theory. ##Crossed modules and its applications play very important roles in category theory, homotopy theory, homology and cohomology of groups, algebra, ktheory etc. ##Actor crossed module of algebroid was defined by M. ##Alp. Representations of crossed modules was studied by M. A. Dehghanizadeh and B. ##Davvaz. ##In this paper we examine the center, n-center , central automorphisms and n-central automorphisms groups to crossed modules and obtain some results and theorem