Automorphism Group of the Holomorph of a Cyclic Group
Group Theory
2025-10-15 v1
Abstract
We show that the holomorph of a cyclic group of order is isomorphic to its own automophism group when is twice of a power of an odd prime.
Cite
@article{arxiv.2407.18435,
title = {Automorphism Group of the Holomorph of a Cyclic Group},
author = {Kazuki Sato},
journal= {arXiv preprint arXiv:2407.18435},
year = {2025}
}