A Characteristic 2-Subgroups of a Finite Special Group.
A characterization of characters which arise from ...-normalizers.
A class of commutative loops with metacyclic inner mapping groups
We investigate loops defined upon the product by the formula , where , for appropriate parameters . Each such loop is coupled to a 2-cocycle (in the group-theoretical sense) and this connection makes it possible to prove that the loop possesses a metacyclic inner mapping group. If , then the loop is an A-loop. Questions of isotopism and isomorphism are considered in detail.
A computer algebra solution to a problem in finite groups.
We report on a partial solution of the conjecture that the class of finite solvable groups can be characterised by 2-variable identities. The proof requires pieces from number theory, algebraic geometry, singularity theory and computer algebra. The computations were carried out using the computer algebra system SINGULAR.
A condition for the solvability of finite groups.
A contribution to the theory of finite supersoluble groups
A generalized Frattini subgroup of a finite group.
A Group Theoretic Proof of Burnside's pa qb-Theorem.
A lattice of homomorphs
A Lattice theoretic characterization of prefrattini subgroups.
A Noncoprime Shult Type Theorem.
A note on a result of Skiba.
A note on conjugacy class sizes of finite groups
A note on factorized (finite) -groups
A note on finite group structure influenced by second and third maximal subgroups.
A Note on Fitting Classes.
A note on influence of subgroup restrictions in finite group structure.
A note on -solvable and solvable finite groups.
A note on the minimal normal Fitting class
Un gruppo finito ciclico-per-nilpotente appartiene alla minima classe di Fitting normale se e solo se è nilpotente.
A note on the -property of some 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 obtain some criteria for the -supersolubility or -nilpotency of a finite group and extend some known results by concerning some subgroups that satisfy the -property.