A. Trofimuk

collaborators

3 papers

math.GR2020

On factorized groups with permutable subgroups of factors

Victor S. Monakhov, Alexander A. Trofimuk

The subgroups $A$ and $B$ of a group~ $G$ are called {\rm msp}-permutable, if the following statements hold: $A B$ ~is a subgroup of~ $G$ ; the subgroups $P$ and $Q$ are mutually permut…

math.GR2020

On the residual of a factorized group with widely supersoluble factors

Victor S. Monakhov, Alexander A. Trofimuk

Let $P$ be the set of all primes. A subgroup $H$ of a group $G$ is called {\it $P$ -subnormal} in $G$ , if either $H = G$ , or there exists a chain of subgroups $H=H_0\le H…

math.GR2019

A note on the supersolvability of a finite group with prime index of some subgroups

V. S. Monakhov, A. A. Trofimuk

In this paper, we proved that a group $G$ is supersoluble if and only if for any prime $p \in π (G)$ there exists a supersoluble subgroup of index $p$ .