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
Caranti, A., Dalla Volta, F. (2018). Groups that have the same holomorph as a finite perfect group. JOURNAL OF ALGEBRA, 507, 81-102 [10.1016/j.jalgebra.2018.04.006].
Groups that have the same holomorph as a finite perfect group
Dalla Volta, F
2018
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
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