On the Groups with Abelian Sylow 2-Subgroups.
On the influence of the indices of normalizers of Sylow subgroups on the structure of a finite -soluble 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 largest conjugacy class size in a finite group
On the monomiality of groups whose third derived group is trivial.
On the number of conjugacy classes of pi-elements in a finite group
On the number of solutions of equation in a finite group
Theorem A yields the condition under which the number of solutions of equation in a finite -group is divisible by (here is a fixed positive integer). Theorem B which is due to Avinoam Mann generalizes the counting part of the Sylow Theorem. We show in Theorems C and D that congruences for the number of cyclic subgroups of order which are true for abelian groups hold for more general finite groups (for example for groups with abelian Sylow -subgroups).
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 Projectives of a Group Algebras.
On the regular Sylow -subgroups of Chevalley groups over .
On the Shemetkov problem for Fitting classes.
On the Sylow Subgroups of a Doubly Transitive Permuatation Group.
On the Sylow Subgroups of a Doubly Transitive Permutation Group. II.
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...
On weakly-supplemented subgroups and the solvability of finite groups
A subgroup of a finite group is weakly-supplemented in if there exists a proper subgroup of such that . In this paper, some interesting results with weakly-supplemented minimal subgroups or Sylow subgroups of are obtained.
On weakly-supplemented subgroups of finite groups
A subgroup of a finite group is weakly-supplemented in if there exists a proper subgroup of such that . In this paper, some interesting results with weakly-supplemented minimal subgroups to a smaller subgroup of are obtained.
On -normally embedded subgroups of finite soluble groups
On -property of some maximal subgroups of Sylow subgroups of finite groups
Let be a subgroup of a finite group . We say that satisfies the -property in if for any chief factor of , is a -number. We study the influence of some -subgroups of satisfying the -property on the structure of , and generalize some known results.