ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE | ||
Journal of Algebraic Systems | ||
مقاله 3، دوره 3، شماره 2، فروردین 2016، صفحه 127-131 اصل مقاله (107.59 K) | ||
نوع مقاله: Original Manuscript | ||
شناسه دیجیتال (DOI): 10.22044/jas.2015.612 | ||
نویسندگان | ||
Z. Kaboutari Farimani* ؛ M. M. Nasrabadi | ||
Department of Mathematics, University of Birjand, Birjand, Iran. | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Absolute centre؛ absolute central automorphisms؛ finite p-groups | ||
آمار تعداد مشاهده مقاله: 1,946 تعداد دریافت فایل اصل مقاله: 2,056 |