5 papers · 1 filter
Fitting like subgroups of finite groups
Viachaslau I. Murashka, Alexander F. Vasil'ev
In this paper the concept of -functorial of a finite group was introduced. These functorials have many properties of the Fitting subgroup of a soluble group and the gen…
A generalization of Hall's theorem on hypercenter
Viachaslau I. Murashka, Alexander F. Vasil'ev
Let be a partition of the set of all primes and be a hereditary formation. We described all formations for which the -hypercenter a…
On some applications of Fitting like subgroups of finite groups
Viachaslau I. Murashka, Alexander F. Vasil'ev
In this paper we study the groups all whose maximal or all Sylow subgroups are --subnormal in their product the with generalizations of the Fitting subgroup $\math…
Finite groups with -subnormal normalizers of Sylow subgroups
A. F. Vasil'ev, T. I. Vasil'eva, A. G. Melchenko
Let be a set of primes and be a formation. In this article a properties of the class of all groups , such that $π(G)\subseteq π(\m…
On finite - groups and their applications
Evgeniy N. Myslovets, Alexander F. Vasil'ev
Let be a class of groups. A group is called --group if its every non-abelian chief factor is simple and $H/K \leftthreetimes C_G(H/K) \in \mathfr…