Fitting Formations of finite Soluble Groups.
On a Problem of Hanna Neumann.
Products of Fitting Classes.
A Problem in the Theory of Normal Flitting Classes.
On the rarity of quasinormal subgroups
On the largest conjugacy class size in a finite group
An Example in the Theory of Normal Fitting Classes.
A note on hamiltonian 2-groups
A note on groups with hamiltonian quotients
Mutually permutable products of two nilpotent groups
On some permutable products of supersoluble groups.
It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is not supersoluble in general. Under suitable permutability conditions on A and B, we show that for any minimal normal subgroup N both AN and BN are supersoluble. We then exploit this to establish some sufficient conditions for G to be supersoluble.
Page 1