On inner automorphisms and certain central automorphisms of groups

Zahedeh Azhdari () and Mehri Akhavan-Malayeri ()
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Zahedeh Azhdari: Alzahra University
Mehri Akhavan-Malayeri: Alzahra University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 3, 377-394

Abstract: Abstract Let G be a group, let M and N be two normal subgroups of G. We denote by Aut N M (G), the set of all automorphisms of G which centralize G/M and N. In this paper we investigate the structure of a group G in which one of the Inn(G) = Aut N M (G), Aut N M (G) ≤ Inn(G) or Inn(G) ≤ Aut N M (G) holds. We also discuss the problem: “what conditions on G is sufficient to ensure that G has a non-inner automorphism which centralizes G/M and N”.

Keywords: Inner automorphism; central automorphism; finitely generated group (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0069-4

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