Osservazioni sulle classi di Fitting normali
Two normal Fitting classes are considered, and it is proved that one contains the other.
On a definition for formations
By constructing appropriate faithful simple modules for the group GL(2,3), the author shows that certain "local" definitions for formations are not equivalent.
A note on the minimal normal Fitting class
Un gruppo finito ciclico-per-nilpotente appartiene alla minima classe di Fitting normale se e solo se è nilpotente.
Osservazioni sulla lunghezza -separabile dei gruppi finiti
The author carries forward the study of characteristic series related to -separable groups introduced in [3] by J.M. De Olazabal, and proves that the class of -separable groups whose -separable length is less or equal to is subgroup closed but is not a formation.
On a definition for formations
By constructing appropriate faithful simple modules for the group GL(2,3), the author shows that certain "local" definitions for formations are not equivalent.
A note on the minimal normal Fitting class
Un gruppo finito ciclico-per-nilpotente appartiene alla minima classe di Fitting normale se e solo se è nilpotente.
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