SE-supplemented subgroups of finite groups
Some questions on quasinilpotent groups and related classes.
In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).
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 .
Subgroup embeddings in the symmetric group of degree nine.
Submodular Subgroups in Finite Groups.
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....
Subnormale Einbettung von Paaren von Gruppen.
Subnormality and Invariant Relations on Conjugacy Classes in Finite Groups.
Subnormalizers and embedding properties of subgroups of finite groups.
Sylow-Gruppen und Subnormalteiler endlicher Gruppen.