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.
Kaboutari Farimani, Z., & Nasrabadi, M. M. (2015). ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE. Journal of Algebraic Systems, 3(2), 127-131. doi: 10.22044/jas.2015.612
MLA
Z. Kaboutari Farimani; M. M. Nasrabadi. "ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE", Journal of Algebraic Systems, 3, 2, 2015, 127-131. doi: 10.22044/jas.2015.612
HARVARD
Kaboutari Farimani, Z., Nasrabadi, M. M. (2015). 'ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE', Journal of Algebraic Systems, 3(2), pp. 127-131. doi: 10.22044/jas.2015.612
VANCOUVER
Kaboutari Farimani, Z., Nasrabadi, M. M. ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE. Journal of Algebraic Systems, 2015; 3(2): 127-131. doi: 10.22044/jas.2015.612