SE-supplemented subgroups of finite groups
Simply connected coset complexes for rank 1 groups of Lie type.
Solubility of Finite Groups Admitting a Fixed-Point-Free Automorphism of Order rst. IV.
Solubility of Groups Admitting a Fixed-point-free Automorphism Group of Type (p, p).
Some Applications of a Fundamental Theorem by Gluck and Wolf in the Character Theory of Finite Groups.
Some Examples in the Theory of Injectors of Finite Soluble Groups.
Some questions on the number of generators of a finite group
Some Results on 2-Transitive Groups.
Some results on Sylow numbers of finite groups
We study the group structure in terms of the number of Sylow -subgroups, which is denoted by . The first part is on the group structure of finite group such that , where is a normal subgroup of . The second part is on the average Sylow number and we prove that if is a finite nonsolvable group with and , then , where is the Fitting subgroup of . In the third part, we study the nonsolvable group with small sum of Sylow numbers.
Some results on -solvable and supersolvable groups.
Some supersolvability criteria for finite groups.
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.
Sottogruppi massimali dei sottogruppi di Sylow e complementi normali
In this Note conditions for the existence of a normal -complement and for the supersolubility of a finite group are given.
Still another proof of the existence of Sylow--subgroups.
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