Some properties of autocentral automorphisms of a group |
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| Authors: | Mohammad Reza R. Moghaddam Hesam Safa |
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| Affiliation: | 1.Faculty of Mathematical Sciences, Centre of Excellence in Analysis on Algebraic Structures,Ferdowsi University of Mashhad,Mashhad,Iran |
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| Abstract: | Let G be a group, Aut(G) and L(G) denote the full automorphisms group and absolute centre of G, respectively. The automorphism ({alphain Aut(G)}) is called autocentral if ({g^{-1}alpha(g)in L(G)}), for all ({gin G}). In the present paper, we investigate the properties of such automorphisms. |
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