7 papers
On the intersection of -maximal subgroups of a finite group
Viachaslau I. Murashka, Yana A. Kuptsova
We investigate the properties of the intersection of all -maximal subgroups of a finite group for a hereditary formation $\mathfr…
On the Length of a Maximal Subgroup of a Finite Group
Viachaslau I. Murashka, Alexander F. Vasil'ev
For a finite group and its maximal subgroup we proved that the generalized Fitting height of can't be less by 2 than the generalized Fitting height of and the non-$…
Formations of Finite Groups in Polynomial Time: the -Hypercenter
Viachaslau I. Murashka
For a wide family of formations (which includes Baer-local formations) it is proved that the -hypercenter of a permutation finite group can be compute…
Formations of Finite Groups in Polynomial Time: the -Radical
Viachaslau I. Murashka
For a Baer-local (composition) Fitting formation the polynomial time algorithm for the computation of the -radical of a permutation group is suggested.…
Constructing regular saturated formations of finite soluble groups
Viachaslau I. Murashka
For a formation of finite groups consider a graph whose vertices are elements of a finite group and two vertices are connected by an edge if and only if they generat…
-properties of finite groups in polynomial time
Viachaslau I. Murashka
Let be subgroups of the permutation group of degree with and be a partition of the set of all different prime divisors of . We prove…