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
Articolo in rivista - Articolo scientifico
Mathematics - Group Theory; Mathematics - Group Theory; 20B35 20D45 20D40
English
8-apr-2018
2018
507
81
102
reserved
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/155152
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