%0 Journal Article %T ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Kaboutari Farimani, Z. %A Nasrabadi, M. M. %D 2015 %\ 01/01/2015 %V 3 %N 2 %P 127-131 %! ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE %K Absolute centre %K absolute central automorphisms %K finite p-groups %R 10.22044/jas.2015.612 %X Let G be a finite p-group and let Aut_l(G) be the group of absolute central automorphisms of G. In this paper we give necessary and sufficient condition on G such that each absolute central automorphism of G fixes the centre element-wise. Also we classify all groups of orders p^3 and p^4 whose absolute central automorphisms fix the centre element-wise. %U https://jas.shahroodut.ac.ir/article_612_1811e3d5e5fb09d4b5f4e6ce4fb36612.pdf