TY - JOUR ID - 612 TI - ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Kaboutari Farimani, Z. AU - Nasrabadi, M. M. AD - Department of Mathematics, University of Birjand, Birjand, Iran. Y1 - 2015 PY - 2015 VL - 3 IS - 2 SP - 127 EP - 131 KW - Absolute centre KW - absolute central automorphisms KW - finite p-groups DO - 10.22044/jas.2015.612 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_612.html L1 - https://jas.shahroodut.ac.ir/article_612_1811e3d5e5fb09d4b5f4e6ce4fb36612.pdf ER -