9 papers
Formations of Finite Groups in Polynomial Time: -residuals and -subnormality
Viachaslau I. Murashka
For a wide family of formations it is proved that the -residual of a permutation finite group can be computed in a polynomial time. Moreover, if in th…
On ECP-Groups
Viachaslau I. Murashka
According to T. Foguel a subgroup of a group is called conjugate-permutable if for every . Mingyao Xu and Qinhai Zhang studied finite groups with every…
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 a generalization of one Kramer's theorem
Viachaslau I. Murashka
Yangming Li and Xianhua Li in 2012 proposed a conjecture that generalizes O.U. Kramer's result about supersoluble groups. Here we proved that this conjecture is false in the genera…
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…