Lijian An

activity

20132025

p

-groups with a minimal non-abelian subgroup of index

p

(IV)

24 citations · 34 across the 12 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

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★ 5 cited

The Classification of Finite Metahamiltonian $p$ -Groups

Xingui Fang, Lijian An

A group is called metahamiltonian if all non-abelian subgroups of it are normal. This concept is a natural generation of Hamiltonian groups. In this paper, a complete classificatio…

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…

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

The Classification of Finite Metahamiltonian p-Groups

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

Chermak-Delgado Lattice Extension Theorems

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

The Classification of Finite Metahamiltonian $p$ -Groups

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