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....
Sui gruppi finiti somma dei loro sottogruppi di Sylow
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.
Sur la structure des -groupes de Sylow des groupes symétriques finis et de quelques généralisations infinies de ces groupes
Sur les théorèmes de Sylow pour les groupes avec opérateurs
Sylow 2-subgroups of simple groups
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.
Sylow Subgroups of Transitive Permutation Groups.
Sylow-Gruppen und Subnormalteiler endlicher Gruppen.
Sylowisatoren.
The Characterisation of the Suzuki Groups by Their Sylow 2-Subgroups.
The Core-Free Groups of Sylow-2-type M24.
The -property of linear and unitary groups.
The determination of abelian Hall subgroups by a conjugacy class structure.
The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.
The Fitting class generated by the -perfect groups
The influence of weakly-supplemented subgroups on the structure of finite groups
A subgroup of a finite group is weakly-supplemented in if there exists a proper subgroup of such that . In the paper it is proved that a finite group is -nilpotent provided is the smallest prime number dividing the order of and every minimal subgroup of is weakly-supplemented in where is a Sylow -subgroup of . As applications, some interesting results with weakly-supplemented minimal subgroups of are obtained.
The other -theorem
The -nilpotency of finite groups with some weakly pronormal subgroups
For a finite group and a fixed Sylow -subgroup of , Ballester-Bolinches and Guo proved in 2000 that is -nilpotent if every element of with order lies in the center of and when , either every element of with order lies in the center of or is quaternion-free and is -nilpotent. Asaad introduced weakly pronormal subgroup of in 2014 and proved that is -nilpotent if every element of with order is weakly pronormal in and when , every element of with order is also...
The -injectors of a finite group