Torsion in semicomplete nilpotent groups

Author:

Fournelle Thomas A.

Abstract

Let Aut G and Inn G denote the group of all automorphisms of the group G and the subgroup of all inner automorphisms of G, respectively. A group G is said to be complete if it has trivial centre and Aut G = Inn G. Examples of such groups abound and they have been the object of study for many years. Following Heineken (8) we call a group G semicomplete if Aut G = Inn G.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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2. Automorphism groups of finitely generated groups that are isomorphic to group of inner automorphisms;Quaestiones Mathematicae;2017-08-22

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4. IA-automorphisms of finitely generated nilpotent groups;Journal of Algebra and Its Applications;2014-05-02

5. The Sylow p-Subgroups of Semicomplete Nilpotent Groups;Proceedings of the American Mathematical Society;1993-10

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