Shengmin Zhang

collaborators

3 papers

math.GR2024

On generalized covering and avoidance properties of finite groups and saturated fusion systems

Shengmin Zhang, Zhencai Shen

A subgroup $A$ of a finite group $G$ is said to be a $C A P$ -subgroup of $G$ , if for any chief factor $H / K$ of $G$ , either $A H = A K$ or $A \cap H = A \cap K$ . Let $p$ be a prime, $S$ …

math.GR2024

A new characterization of $E_{8} (p)$ via its vanishing elements

Shengmin Zhang

Let $G$ be a finite group, and $g \in G$ . Then $g$ is said to be a vanishing element of $G$ , if there exists an irreducible character $I ¨ $ of $G$ such that $I ¨ (g) = 0$ . Denote by ${\…

math.GR2024

The influence of weakly $S I^¦$ -supplemented subgroups on fusion systems of finite groups

Shengmin Zhang, Zhencai Shen

Let $G$ be a finite group and $H$ be a subgroup of $G$ . Then $H$ is called a weakly $S I^¦$ -supplemented subgroup of $G$ , if there exists a subgroup $T$ of $G$ such that $G = H T$ and…

On generalized covering and avoidance properties of finite groups and saturated fusion systems

A new characterization of E8​(p) via its vanishing elements

The influence of weakly SI^¦-supplemented subgroups on fusion systems of finite groups

A new characterization of $E_{8} (p)$ via its vanishing elements

The influence of weakly $S I^¦$ -supplemented subgroups on fusion systems of finite groups