On weighted Hadamard-type singular integrals and their applications.
New inequalities on fractal analysis and their applications.
OnCSQ-normal subgroups of finite groups
We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.
The structure of finite groups and ɵ-pairs of general subgroups
Using the concept of ɵ-pairs of proper subgroups of a finite group, we obtain some critical conditions of the supersolvability and nilpotency of finite groups.
A note on solvable vertex stabilizers of -transitive graphs of prime valency
A graph , with a group of automorphisms of , is said to be -transitive, for some , if is transitive on -arcs but not on -arcs. Let be a connected -transitive graph of prime valency , and the vertex stabilizer of a vertex . Suppose that is solvable. Weiss (1974) proved that . In this paper, we prove that for some positive integers and such that and .
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