Qin-Hai Zhang

most citedFinite

p

-groups with a minimal non-abelian subgroup of index

p

(IV)

24 citations · 30 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2014★ 4 cited

Finite $p$ -groups all of whose subgroups of index $p^{3}$ are abelian

Qinhai Zhang, Libo Zhao, Miaomiao Li +1

Suppose that $G$ is a finite $p$ -group. If all subgroups of index $p^{t}$ of $G$ are abelian and at least one subgroup of index $p^{t - 1}$ of $G$ is not abelian, then $G$ is called an…

math.GR2014★ 2 cited

On Finite Metahamiltonian p-Groups

Lijian An, Qinhai Zhang

A group is called metahamiltonian if all non-abelian subgroups of it are normal. This concept is a natural generalization of Hamiltonian groups. In this paper, the properties of fi…

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…

Finite p-groups all of whose subgroups of index p3 are abelian

On Finite Metahamiltonian p-Groups

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

Finite $p$ -groups all of whose subgroups of index $p^{3}$ are abelian

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