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