Automorphism group - Open Access .click

Creative Mathematics and Informatics, 2023
The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true
Sajikumar, Sadanandan +2 more
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On the Group of Automorphisms of a Group

The American Mathematical Monthly, 2011
AbstractThis note gives a generalization of the classical result asserting that if the center of a group G is trivial, then so is the center of its automorphism group Aut(G).
Marian Deaconescu, Gary L. Walls
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ON THE CENTRE OF THE AUTOMORPHISM GROUP OF A GROUP

Bulletin of the Australian Mathematical Society, 2015
If the centre of a group $G$ is trivial, then so is the centre of its automorphism group. We study the structure of the centre of the automorphism group of a group $G$ when the centre of $G$ is a cyclic group. In particular, it is shown that the exponent of $Z(\text{Aut}(G))$ is less than or equal to the exponent of $Z(G)$ in this case.
Farrokhi D. G., M., Moghaddam, Mohammad Reza R. +1 more
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Automorphisms of the Gersten Group

Siberian Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dudkin, F. A., Shaporina, E. A.
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automorphism groups of groups
automorphisms of abstract finite groups
group theory

automorphisms of infinite groups
automorphism groups
algebra and number theory

generators, relations, and presentations of groups
free nonabelian groups
nilpotent groups