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

collaborators

Showing 2015Show all

4 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 $G$ -…

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