Automorphism groups - 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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Automorphism Groups of Nilpotent Groups

Bulletin of the London Mathematical Society, 1989
Let ${\mathfrak X}$ denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in ${\mathfrak X}$, let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a ${\mathbb{Z}}$-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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IMPRIMITIVE AUTOMORPHISM GROUPS

The Quarterly Journal of Mathematics, 1992
Let $G$ be a permutation group on a countably infinite set $\Omega$, and for every positive integer $k$ let $n_ k$ denote the number of orbits under the action of $G$ on subsets of order $k$ of $\Omega$. It was proved by \textit{P. J. Cameron} [Math. Z. 148, 127-139 (1976; Zbl 0313.20022)] that the sequence $(n_ k)_{k\in \mathbb{N}}$ is
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Noetherian Automorphisms of Groups

Mediterranean Journal of Mathematics, 2005
An automorphism α of a group G is called a noetherian automorphism if for each ascending chain $$ X_1 < X_2 < \ldots < X_n < X_{n + 1} < \ldots $$ of subgroups of G there is a positive integer m such that $X_n^{\alpha} = X_n $ for all n ≥ m. The structure of the group of all noetherian automorphisms of a group is investigated in this paper.
DE GIOVANNI, FRANCESCO, DE MARI, FAUSTO
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automorphism group
automorphism groups of groups
automorphisms of abstract finite groups

automorphisms of infinite groups
mathematics
algebra and number theory

finite nilpotent groups, \ p\ -groups
fos: mathematics
mathematics - group theory