On some maximal -quasinormal subgroups of finite 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.
On S-quasinormal subgroups of finite group.
On the intersection of maximal non-supersoluble subgroups in a finite group
Gli autori studiano il sottogruppo intersezione dei sottogruppi massimali e non supersolubili di un gruppo finito e le relazioni tra la struttura di e quella di .
On the maximal subgroups of the finite classical groups.
On the -length of the product of two Shmidt groups.
On the -supersolubility of a finite group with a -supplemented Sylow -subgroup.
On the product of two n-decomposable soluble groups.
On the rarity of quasinormal subgroups
On the total number of principal series of a finite abelian group.
On weakly -permutably embedded subgroups
Suppose is a finite group and is a subgroup of . is said to be -permutably embedded in if for each prime dividing , a Sylow -subgroup of is also a Sylow -subgroup of some -permutable subgroup of ; is called weakly -permutably embedded in if there are a subnormal subgroup of and an -permutably embedded subgroup of contained in such that and . We investigate the influence of weakly -permutably embedded subgroups on the -nilpotency and -supersolvability of finite...