W. Shi

most citedA new graph related to conjugacy classes of finite groups

6 citations · 8 across the 8 of their papers we have counts for

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math.GR2005★ 6 cited

A new graph related to conjugacy classes of finite groups

Xingzhong You, Guohua Qian, Wujie Shi

In this paper we classify the finite groups satisfying the following property $P_{4}$ : their orders of representatives are set-wise relatively prime for any 4 distinct non-central co…

math.GR2005

A Characterization of $L_{2} (2^{f})$ in Terms of Character Zeros

Guohua Qian, Wujie Shi

The aim of this paper is to classify the finite nonsolvable groups in which every irreducible character of even degree vanishes on at most two conjugacy classes. As a corollary, it…

math.GR2005

A Note on the Solvablity of Groups

Shiheng Li, Wujie Shi

Let $M$ be a maximal subgroup of a finite group $G$ and $K / L$ be a chief factor such that $L \leq M$ while $K ⊈ M$ . We call the group $M \cap K / L$ a $c$ \ns section of $M$ . An…

math.GR2005★ 1 cited

A generalization of $c$ -Supplementation

Shiheng Li, Dengfeng Liang, Wujie Shi

A subgroup $H$ is said to be $n c$ -supplemented in a group $G$ if there is a subgroup $K \leq G$ such that $H K ⊴ G$ and $H \cap K$ is contained in $H_{G}$ , the core of $H$ in $G$ . W…

math.GR2005

A new criterion for finite non-cyclic groups

Wei Zhou, Wujie Shi, Zeyong Duan

Let $H$ be a subgroup of a group $G$ . We say that $H$ satisfies the power condition with respect to $G$ , or $H$ is a power subgroup of $G$ , if there exists a non-negative integer $…

math.GR2005

Finite groups with conjugacy classes number one greater than its same order classes number

Xianglin Du, Wujie Shi

Let $k (G)$ be the number of conjugacy classes of finite groups $G$ and $π_{e} (G)$ be the set of the orders of elements in $G$ . Then there exists a non-negative integer $k$ such that…

A new graph related to conjugacy classes of finite groups

A Characterization of L2​(2f) in Terms of Character Zeros

A Note on the Solvablity of Groups

A generalization of c-Supplementation

A new criterion for finite non-cyclic groups

Finite groups with conjugacy classes number one greater than its same order classes number

A Characterization of $L_{2} (2^{f})$ in Terms of Character Zeros

A generalization of $c$ -Supplementation