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On weighted Hadamard-type singular integrals and their applications.

Xu, Yong Jia — 2007

Abstract and Applied Analysis

New inequalities on fractal analysis and their applications.

Chang, Der-Chen; Xu, Yong — 2007

Journal of Inequalities and Applications [electronic only]

OnCSQ-normal subgroups of finite groups

Yong Xu; Xianhua Li — 2016

Open Mathematics

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

Yong Xu; Hailong Hou; Xinjian Zhang — 2015

Open Mathematics

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 $s$ -transitive graphs of prime valency

Song-Tao Guo; Hailong Hou; Yong Xu — 2015

Czechoslovak Mathematical Journal

A graph $X$ , with a group $G$ of automorphisms of $X$ , is said to be $(G, s)$ -transitive, for some $s \geq 1$ , if $G$ is transitive on $s$ -arcs but not on $(s + 1)$ -arcs. Let $X$ be a connected $(G, s)$ -transitive graph of prime valency $p \geq 5$ , and $G_{v}$ the vertex stabilizer of a vertex $v \in V (X)$ . Suppose that $G_{v}$ is solvable. Weiss (1974) proved that $| G_{v} {| ∣ p (p - 1)}^{2}$ . In this paper, we prove that $G_{v} ≅ (ℤ_{p} ⋊ ℤ_{m}) \times ℤ_{n}$ for some positive integers $m$ and $n$ such that $n div m$ and $m ∣ p - 1$ .

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