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Finite groups with subnormal non-cyclic subgroups
(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.
Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups
(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 ...
On a finite group having a normal series whose factors have bicyclic Sylow subgroups
(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 ...
Finite groups with two supersoluble subgroups
(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 ...