Some properties of autocentral automorphisms of a group

Let G be a group, Aut ( G ) and L ( G ) denote the full automorphisms group and absolute centre of G , respectively. The automorphism is called autocentral if , for all . In the present paper, we investigate the properties of such automorphisms.

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Veröffentlicht in:	Ricerche di matematica 2010-12, Vol.59 (2), p.257-264
Hauptverfasser:	Moghaddam, Mohammad Reza R., Safa, Hesam
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Geometry Mathematics Mathematics and Statistics Numerical Analysis Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Let G be a group, Aut ( G ) and L ( G ) denote the full automorphisms group and absolute centre of G , respectively. The automorphism is called autocentral if , for all . In the present paper, we investigate the properties of such automorphisms.
ISSN:	0035-5038 1827-3491
DOI:	10.1007/s11587-010-0085-6