ON CERTAIN AUTOMORPHISMS OF NILPOTENT GROUPS
Copyright policy )ON CERTAIN AUTOMORPHISMS OF NILPOTENT GROUPS
Let \(G\) be a group and \(\vartheta\in\Aut(G)\); the automorphism \(\vartheta\) is pointwise inner if \(\vartheta(g)\) is conjugate to \(g\) for every \(g\in G\) (that is \(\vartheta\) fixes the conjugacy classes of \(G\)). The set \(\Aut_{\mathrm{pwi}}(G)\) of pointwise inner automorphisms of \(G\) is a subgroup of \(\Aut(G)\) and obviously \(\mathrm{Inn}(G)\leq\Aut_{\mathrm{pwi}}(G)\). The paper under review is devoted to the study of \(\Aut_{\mathrm{pwi}}(G)\) when \(G\) is a nilpotent group.
- Alzahra University Iran (Islamic Republic of)
Automorphisms of infinite groups, finite \(p\)-groups, Finite nilpotent groups, \(p\)-groups, Nilpotent groups, nilpotent groups, central automorphisms, Automorphisms of abstract finite groups, pointwise inner automorphisms
Automorphisms of infinite groups, finite \(p\)-groups, Finite nilpotent groups, \(p\)-groups, Nilpotent groups, nilpotent groups, central automorphisms, Automorphisms of abstract finite groups, pointwise inner automorphisms
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