Factorizations of Finite Groups.
Factorizations of one-generated -local formations.
Finite abelian groups and factorization problems. II
Finite coverings of groups
Finite groups admitting some coprime operator groups
Finite Groups as the Union of Proper Subgroups
2000 Mathematics Subject Classification: 20D60,20E15.As is known, if a finite solvable group G is an n-sum group then n − 1 is a prime power. It is an interesting problem in group theory to study for which numbers n with n-1 > 1 and not a prime power there exists a finite n-sum group. In this paper we mainly study finite nonsolvable n-sum groups and show that 15 is the first such number. More precisely, we prove that there exist no finite 11-sum or 13-sum groups and there is indeed a finite 15-sum...
Finite Groups Generated by 3-Transpositions. I.
Finite Groups have local Non-Schur Centralizers.
Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup
Let be a finite group. We prove that if every self-centralizing subgroup of is nilpotent or subnormal or a TI-subgroup, then every subgroup of is nilpotent or subnormal. Moreover, has either a normal Sylow -subgroup or a normal -complement for each prime divisor of .
Finite groups in which every two elements generate a soluble subgroup.
Finite groups in which subnormalizers are subgroups
Finite groups in which Sylow normalizers have nilpotent Hall supplements.
Finite groups in which the normalizers of Sylow 3-subgroups are of odd or primary index.
Finite groups in which -quasinormality is a transitive relation
Finite groups of automorphisms of K3 surfaces and the Mathieu group.
Finite groups of bounded rank with an almost regular automorphism of prime order.
Finite Groups of Exponent 12 as Automorphism Groups.
Finite Groups of Rank 3. I.
Finite Groups of Rank 3. II.
Finite groups whose all proper subgroups are -groups
A group is said to be a -group if for every divisor of the order of , there exists a subgroup of of order such that is normal or abnormal in . We give a complete classification of those groups which are not -groups but all of whose proper subgroups are -groups.