Lijian An

activity

20172021

most citedGroups whose Chermak-Delgado lattice is a subgroup lattice of an elementary abelian

p

-group

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2021★ 2 cited

Groups whose Chermak-Delgado lattice is a subgroup lattice of an elementary abelian $p$ -group

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 focus on finite groups whose Chermak-Delgado lattice i…

math.GR2021

Finite groups which have maximal covers

Lifang Wang, Lijian An

Let $λ (G)$ be the maximum number of subgroups in an irredundant covering of a finite group $G$ . We prove that the finite groups with $λ (G) = ∣ G ∣ - t$ , where $t \leq 5$ , are solvable, an…

math.GR2020

A refinement on a theorem of Z. Janko

Qiangwei Song, Lijian An

We say that a subgroup $H$ is isolated in a group $G$ if for each $x \in G$ we have either $x \in H$ or $⟨ x ⟩ \cap H = 1$ . Z. Janko, in his paper [J. Algebra, 465(2016),…

math.GR2017★ 1 cited

Groups whose Chermak-Delgado lattice is a quasi-antichain

Lijian An

A quasiantichain is a lattice consisting of a maximum, a minimum, and the atoms of the lattice. The width of a quasiantichian is the number of atoms. For a positive integer $w$ ($\…

Groups whose Chermak-Delgado lattice is a subgroup lattice of an elementary abelian p-group

Finite groups which have maximal covers

A refinement on a theorem of Z. Janko

Groups whose Chermak-Delgado lattice is a quasi-antichain

Groups whose Chermak-Delgado lattice is a subgroup lattice of an elementary abelian $p$ -group