arXiv subjects
Publications and source records attributed to N. T. Vorobev.
Let G be a group and H be a Hartley set of G. In this paper, we prove the existence and conjugacy of H-injectors of G and describe the structure of the injectors. As application, some known results are directly followed.
In this paper, we prove the existence and conjugacy of injectors of a generalized $π$-soluble groups for the Hartley class defined by a invariable Hartley function, and give a description of the structure of the injectors.
Let $G$ be some generalized $π$-soluble groups and ${\cal F}$ be a Fitting set of $G$. In this paper, we prove the existence and conjugacy of ${\cal F}$-injectors of $G$, and give a description of the structure of the injectors.