Some results on -solvable and supersolvable groups.
Some supersolvability criteria for finite groups.
Sopra alcune classi di gruppi minimali non-P
In this paper we study finite non abelian groups in which every proper normal subgroup and every proper epimorphic image is abelian. Also we study finite non nilpotent groups in which every normal subgroup and every proper epimorphic image is nilpotent and those finite soluble non nilpotent groups in which every proper normal subgroup is nilpotent.
Sopra i gruppi finiti non supersolubili a sottogruppi normali e quozienti propri supersolubili
In questa nota si studiano i gruppi finiti non supersolubili che hanno un solo sottogruppo normale massimale, e per cui ogni sottogruppo normale proprio e ogni immagine epimorfica propria è supersolubile.
Stability groups and central series.
Su una classe di gruppi dotati di una serie di spezzamento principale
Groups all whose nonidentity subgroups split over a normal inseparable nonidentity subgroup are studied.
Su una classe di gruppi finiti supersolubili
In this paper we study the class of finite groups whose nilpotent residual is a Hall subgroup having all subgroups normal in .
Subnormal, permutable, and embedded subgroups in finite groups
The purpose of this paper is to study the subgroup embedding properties of S-semipermutability, semipermutability, and seminormality. Here we say H is S-semipermutable (resp. semipermutable) in a group Gif H permutes which each Sylow subgroup (resp. subgroup) of G whose order is relatively prime to that of H. We say H is seminormal in a group G if H is normalized by subgroups of G whose order is relatively prime to that of H. In particular, we establish that a seminormal p-subgroup is subnormal....
Subnormalizers and embedding properties of subgroups of finite groups.
Sui gruppi finiti non abeliani a sottogruppi normali propri abeliani
In this paper we study finite non abelian solvable groups in which every proper normal subgroup is abelian, and non-solvable ones in which every proper normal subgroup is abelian and has a basis of at most two elements.
Sulla intersezione delle classi normali
We prove that every abelian finite group is contained in the intersection of the nontrivial normal classes introduced by Zappa.
Sulla serie di Fitting del prodotto di due gruppi nilpotenti finiti
Sull'esistenza di sottogruppi nilpotenti auto-normalizzanti in alcuni gruppi semplici
We consider the Suzuki groups and we show that there are no nilpotent self-normalizing subgroups and there are three conjugacy classes of F-projectors, where F is the formation of supersoluble groups.
Supersolvable Automorphism Groups of Solvable Groups.
Sur les groupes d'ordre
Sur l'Indice de Schur Dans les Groupes Dont les Caracteres Sont a Valeurs Rationnelles
Sylow 2-subgroups of solvable Q-groups.
A finite group whose irreducible characters are rational valued is called a rational or a Q-group. In this paper we obtain various results concerning the structure of a Sylow 2-subgroup of a solvable Q-group.
The Core-Free Groups of Sylow-2-type M24.
The defect groups of a clique, p-solvable groups, and Alperin's conjecture.
The diameter of the character degree graph..