Groups that have the same holomorph as a finite perfect group
Group Theory
2019-01-09 v3
Abstract
We describe the groups that have the same holomorph as a finite perfect group. Our results are complete for centerless groups. When the center is non-trivial, some questions remain open. The peculiarities of the general case are illustrated by a couple of examples that might be of independent interest.
Cite
@article{arxiv.1612.03573,
title = {Groups that have the same holomorph as a finite perfect group},
author = {A. Caranti and F. Dalla Volta},
journal= {arXiv preprint arXiv:1612.03573},
year = {2019}
}
Comments
19 pages - minor revisions