H. Qu

activity

20132025

p

-groups with a minimal non-abelian subgroup of index

p

(IV)

24 citations · 24 across the 10 of their papers we have counts for

collaborators

10 papers

math.GR2025

Finite groups with few conjugate classes of minimal non-abelian subgroups

Haipeng Qu, Junqiang Zhang

Let $G$ be a finite non-abelian group and $κ_{1} (G)$ the number of conjugate classes of minimal non-abelian subgroups of $G$ . The structure of $G$ with $κ_{1} (G) = 1$ is determined. In t…

math.GR2023

Finite p-groups with at most p2 + p subgroups not in Chermak-Delgado lattice

Guojie Liu, Haipeng Qu, Lijian An

The Chermak-Delgado lattice of a finite group G is a self-dual sublattice of the subgroup lattice of G. In this paper, we determine finite p-groups with at most p2 + p subgroups no…

math.GR2023

A note on the bound for the class of certain nilpotent groups

Jixia Gao, Haipeng Qu

Assume G is a nilpotent group of class > 3 in which every proper subgroup has class at most 3. In this note, we give the exact upper bound of class of G.

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.CO2021

A family of regular polytopes of order $4 p^{m}$ with type ${p, 2 p}$

Dong-Dong Hou, Ting-Ting Kong, Hai-Peng Qu

In this paper, we construct an infinite families of group $G$ of order $4 p^{m}$ which can be an automorphism group of some regular polytope with type ${p, 2 p}$ , where $m \geq 3$ an…

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…

math.GR2013

Finite $p$ -groups with a minimal non-abelian subgroup of index $p$ (III)

Haipeng Qu, Mingyao Xu, Lijian An

In this paper, we finished the classification of three-generator finite $p$ -groups $G$ such that $Φ (G) \leq Z (G)$ . This paper is a part of classification of finite $p$ -groups with a…

math.GR2013★ 24 cited

Finite $p$ -groups with a minimal non-abelian subgroup of index $p$ (IV)

Lijian An, Ruifang Hu, Qinhai Zhang

In this paper, we completely classify the finite $p$ -groups $G$ such that $Φ (G^{'}) G_{3} \leq C_{p}^{2}$ , $Φ (G^{'}) G_{3} \leq Z (G)$ and $G /Φ (G^{'}) G_{3}$ is minimal non-abelian. This paper is a part of t…

math.GR2013

Chermak-Delgado Lattice Extension Theorems

Lijian An, Joseph Brennan, Haipeng Qu +1

In a finite group G with subgroup H, the Chermak-Delgado measure of H (in G) is defined as the product of the order of H with the order of the centralizer of H. The Chermak-Delgado…