Jiakuan Lu

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20212026

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4 papers · 1 filter

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

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 $ χ$ of $ (1_M)^G $ a $ \mathcal{P} $-character of $ G $ with…

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.

math.GR2021

Normal $p$ -complements and irreducible character codegrees

Jiakuan Lu, Yu Li, Boru Zhang

Let $G$ be a finite group and $p \in π (G)$ , and let Irr $(G)$ be the set of all irreducible complex characters of $G$ . Let $χ \in Irr (G)$ , we write ${\rm cod}(χ)=|G:{\rm ker} χ|…

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

On permutation characters of finite group

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

Normal p-complements and irreducible character codegrees

Normal $p$ -complements and irreducible character codegrees