Просмотр по автору "Monakhov, Victor"

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Finite groups with subnormal non-cyclic subgroups

Monakhov, Victor; Trofimuk, Alexander (De Gruyter, 2014)

In this paper we consider finite groups G such that every non-cyclic maximal subgroup in its Sylow subgroups is subnormal in G. In particular, we prove that such solvable groups have an ordered Sylow tower.
2020-09-17
Finite groups with two supersoluble subgroups

Monakhov, Victor; Trofimuk, Alexander (de Gruyter, 2019)

Let G be a finite group. In this paper we obtain some sufficient conditions for the supersolubility of G with two supersoluble non-conjugate subgroups H and K of prime index, not necessarily distinct. It is established ...
2020-11-10
On a finite group having a normal series whose factors have bicyclic Sylow subgroups

Monakhov, Victor; Trofimuk, Alexander (Taylor & Francis Group, 2011)

We consider the structure of a finite group having a normal series whose factors have bicyclic Sylow subgroups. In particular, we investigate groups of odd order and A4-free groups with this property. Exact estimations ...
2020-11-10
Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups

Monakhov, Victor; Trofimuk, Alexander (Pleiades Publishing, Ltd.,, 2018)

A subgroup A is called seminormal in a group G if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. Studying a group of the form G = AB with seminormal supersoluble subgroups ...
2020-11-10