3 citations · 5 across the 12 of their papers we have counts for
12 papers
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-$…
On --subnormal subgroups of finite groups and related formations
A. F. Vasil'ev, T. I. Vasil'eva
Let be a fixed natural number. A subgroup of a group will be called --subnormal in if there exists a chain of subgroups $H = H_{0} \leq…
On the Generalized Fitting Height and Nonsoluble Length of the Mutually Permutable Products of Finite Groups
Viachaslau I. Murashka, Alexander F. Vasil'ev
The generalized Fitting height of a finite group is the least number such that , where , and $\mathrm{F}_{(i+1)…
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…