Xiaoyu Chen

activity

20082020

most citedConvex PBW-Type Lyndon Bases and Restricted Two-parameter Quantum Groups of Type B

30 citations · 69 across the 20 of their papers we have counts for

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12 papers · 1 filter

math.GR2015

On a problem from the Kourovka Notebook

Xiaoyu Chen

In this manuscript, a solution to Problem 18.91(b) in the Kourovka Notebook is given by proving the following theorem. Let $P$ be a Sylow $p$ -subgroup of a group $G$ with $|P| = p^…

math.GR2015

On supersolubility of finite groups admitting a Frobenius group of automorphisms with fixed-point-free kernel

Xingzheng Tang, Xiaoyu Chen, Wenbin Guo

Assume that a finite group $G$ admits a Frobenius group of automorphisms $F H$ with kernel $F$ and complement $H$ such that $C_{G} (F) = 1$ . In this paper, we investigate this situatio…

math.GR2015

On the converse of Hall's theorem

Xiaoyu Chen

In this paper, we mainly investigate the converse of a well-known theorem proved by P. Hall, and present detailed characterizations under the various assumptions of the existence o…

math.GR2015

On finite groups with some primary subgroups satisfying partial $S$ - $Π$ -property

Xiaoyu Chen, Yuemei Mao, Wenbin Guo

A $p$ -subgroup $H$ of a finite group $G$ is said to satisfy partial $S$ - $Π$ -property in $G$ if $G$ has a chief series $Γ_{G} : 1 = G_{0} < G_{1} < \dots < G_{n} = G$ such that for every $G$ -…

math.GR2014

On HC-subgroups of a finite group

Lijun Huo, Xiaoyu Chen, Wenbin Guo

A subgroup $H$ of a finite group $G$ is said to be an $H C$ -subgroup of $G$ if there exists a normal subgroup $T$ of $G$ such that $G = H T$ and $H^{g} \cap N_{T} (H) \leq H$ for a…

math.GR2014

On weakly $F_{s}$ -quasinormal subgroups of finite groups

Yuemei Mao, Xiaoyu Chen, Wenbin Guo

Let $F$ be a formation and $G$ a finite group. A subgroup $H$ of $G$ is said to be weakly $F_{s}$ -quasinormal in $G$ if $G$ has an $S$ -quasinormal subgroup $T…

math.GR2014

The influence of $F_{s}$ -quasinormality of subgroups on the structure of finite groups

Xiaolong Yu, Xiaoyu Chen, Wenbin Guo

Let $F$ be a class of finite groups. A subgroup $H$ of a finite group $G$ is said to be $F_{s}$ -quasinormal in $G$ if there exists a normal subgroup $T$ o…

math.GR2013★ 13 cited

On the $π$ $F$ -norm and the $H$ - $F$ -norm of a finite group

Xiaoyu Chen, Wenbin Guo

Let $H$ be a Fitting class and $F$ a formation. We call a subgroup $N_{H, F} (G)$ of a finite group $G$ the $H$ -$\mat…

math.GR2013★ 1 cited

On $Π$ -supplemented subgroups of a finite group

Xiaoyu Chen, Wenbin Guo

A subgroup $H$ of a finite group $G$ is said to satisfy $Π$ -property in $G$ if for every chief factor $L / K$ of $G$ , $∣ G / K : N_{G / K} (H K / K \cap L / K) ∣$ is a $π (H K / K \cap L / K)$ -number. A s…

math.GR2013★ 6 cited

On weakly S-embedded subgroups and weakly $τ$ -embedded subgroups

Xiaoyu Chen, Wenbin Guo

Let $G$ be a finite group. A subgroup $H$ of $G$ is said to be weakly S-embedded in $G$ if there exists $K ⊴ G$ such that $H K$ is S-quasinormal in $G$ and $H \cap K \leq H_{se G}$ …

math.GR2013★ 5 cited

Finite groups in which SS-permutability is a transitive relation

Xiaoyu Chen, Wenbin Guo

A subgroup $H$ of a finite group $G$ is said to be SS-permutable in $G$ if $H$ has a supplement $K$ in $G$ such that $H$ permutes with every Sylow subgroup of $K$ . A finite group $…

math.GR2013★ 6 cited

On partial $Π$ -property of subgroups of finite groups

Xiaoyu Chen, Wenbin Guo

Let $H$ be a subgroup of a finite group $G$ . We say that $H$ satisfies partial $Π$ -property in $G$ if there exists a chief series $Γ_{G} : 1 = G_{0} < G_{1} < \dots < G_{n} = G$ of $G$ such th…

On a problem from the Kourovka Notebook

On supersolubility of finite groups admitting a Frobenius group of automorphisms with fixed-point-free kernel

On the converse of Hall's theorem

On finite groups with some primary subgroups satisfying partial S-Π-property

On HC-subgroups of a finite group

On weakly Fs​-quasinormal subgroups of finite groups

The influence of Fs​-quasinormality of subgroups on the structure of finite groups

On the πF-norm and the H-F-norm of a finite group

On Π-supplemented subgroups of a finite group

On weakly S-embedded subgroups and weakly τ-embedded subgroups

Finite groups in which SS-permutability is a transitive relation

On partial Π-property of subgroups of finite groups

On finite groups with some primary subgroups satisfying partial $S$ - $Π$ -property

On weakly $F_{s}$ -quasinormal subgroups of finite groups

The influence of $F_{s}$ -quasinormality of subgroups on the structure of finite groups

On the $π$ $F$ -norm and the $H$ - $F$ -norm of a finite group

On $Π$ -supplemented subgroups of a finite group

On weakly S-embedded subgroups and weakly $τ$ -embedded subgroups

On partial $Π$ -property of subgroups of finite groups