H. Qu

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20182022

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math.GR2022

A classification of finite $p$ -groups with a unique $A_{2}$ -subgroup

Jixia Gao, Dandan Zhang, Haipeng Qu

Finite $p$ -groups with a unique $A_{2}$ -subgroup are classified up to isomorphism. A problem proposed by Berkovich and Janko is solved.

math.GR2020

Finite DC-groups

Dandan Zhang, Haipeng Qu, Yanfeng Luo

Let G be a group and DS(G) = { H'| H is any subgroup of G}. G is said to be a DC-group if DS(G) is a chain. In this paper, we prove that a finite DC-group is a semidirect product o…

math.GR2018

Determining sets and determining numbers of finite groups

Dengyin Wang, Shikun Ou, Haipeng Qu

Let $G$ be a group. A subset $D$ of $G$ is a determining set of $G$ , if every automorphism of $G$ is uniquely determined by its action on $D$ . The determining number of $G$ , denote…

A classification of finite p-groups with a unique A2​-subgroup

Finite DC-groups

Determining sets and determining numbers of finite groups

A classification of finite $p$ -groups with a unique $A_{2}$ -subgroup