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 be of independent interest.
Groups that have the same holomorph as a finite perfect group / Caranti, A.; Dalla Volta, F.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 2018:507(2018), pp. 81-102. [10.1016/j.jalgebra.2018.04.006]
Groups that have the same holomorph as a finite perfect group
A. Caranti;F. Dalla Volta
2018-01-01
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 be of independent interest.File in questo prodotto:
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