Browsing by Author "Trofimuk, Alexander"
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Finite groups with subnormal noncyclic subgroups
Monakhov, Victor; Trofimuk, Alexander (De Gruyter, 2014)In this paper we consider finite groups G such that every noncyclic maximal subgroup in its Sylow subgroups is subnormal in G. In particular, we prove that such solvable groups have an ordered Sylow tower.20200917 
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 nonconjugate subgroups H and K of prime index, not necessarily distinct. It is established ...20201110 
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 A4free groups with this property. Exact estimations ...20201110 
On the residual of a finite group with semisubnormal subgroups
Trofimuk, Alexander (2020)A subgroup A of a group G is called seminormal in G, if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. We introduce the new concept that unites subnormality and seminormality. A ...20201110 
Solvable groups with restrictions on Sylow subgroups of the Fitting subgroup
Trofimuk, Alexander (World Scientific Publishing Company, 2016)In this paper, we study solvable groups in which rn(F) is at most 2. In particular, we investigated groups of odd order and A4free groups with this property. Exact estimations of the derived length and nilpotent length ...20201110 
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 ...20201110