Jiakuan Lu

collaborators

3 papers

math.GR2026

On permutation characters of finite group

Jiakuan Lu, hangyang Meng

Let $G$ be a finite group and $ M $ be a maximal subgroup of $ G $. We call every irreducible constituent $ Ï$ of $ (1_M)^G $ a $ \mathcal{P} $-character of $ G $ with…

math.GR2026

On SS-quasinormalities of the maximal subgroup series of finite groups

Wei Meng, Jiakuan Lu

Let $G$ be finite group. A subgroup $H$ of $G$ is said to be an $S S$ -quasinormal subgroup of $G$ , if there exists a subgroup $B$ of $G$ such that $G = H B$ and $H$ permutes with eve…

math.GR2025

Finite groups with few subgroups not in the Chermak-Delgado lattice

Jiakuan Lu, Xi Huang, Qinwei Lian +1

For a finite group G, we denote by v(G) the number of conjugacy classes of subgroups of G not in CD(G). In this paper, we determine the finite groups G such that v(G)=1,2,3.