Title: ON CERTAIN AUTOMORPHISMS OF NILPOTENT GROUPS
Abstract:Let G be a group. An automorphism θ of a group G is pointwise inner if θ(x) is conjugate to x for any x ∈ G. We denote by Aut c (G) and C* the group of all central automorphisms and the group of all c...Let G be a group. An automorphism θ of a group G is pointwise inner if θ(x) is conjugate to x for any x ∈ G. We denote by Aut c (G) and C* the group of all central automorphisms and the group of all central automorphisms of G fixing Z(G) elementwise, respectively. In this paper, we introduce a natural generalization of the concept of pointwise inner automorphism. And we find certain necessary and sufficient conditions on the finite p-group G such that this subgroup of automorphisms be equal to Inn(G), C* or Aut c (G). Also we give some properties of these automorphisms.Read More
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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