Quanfu Yan

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math.GR2026

A Proof of the Isaacs_Navarro_Wolf Conjecture

Quanfu Yan, Jiping Zhang

An element of a finite group is non-vanishing if no irreducible complex character vanishes on it. We prove that every non-vanishing element of a finite solvable group belongs to th…

math.GR2024

Some results on the norm of finite groups

Mark L. Lewis, Zhencai Shen, Quanfu Yan

Let $G$ be a finite group and $N_{Ω} (G)$ be the intersection of the normalizers of all subgroups belonging to the set $Ω (G),$ where $Ω (G)$ is a set of all subgroups of $G$ which have…

math.GR2024

On the group pseudo-algebra of finite groups

Mark L. Lewis, Quanfu Yan

Let $G$ be a finite group. The group pseudo-algebra of $G$ is defined as the multi-set $C (G) = {(d, m_{G} (d)) ∣ d \in Cod (G)},$ where $m_{G} (d)$ is the number of irreducible chara…

math.GR2024

A note on the codegree of finite groups

Mark L. Lewis, Quanfu Yan

Let $χ$ be an irreducible character of a group $G,$ and $S_{c} (G) = \sum_{χ \in Irr (G)} cod (χ)$ be the sum of the codegrees of the irreducible characters of $G .$ Write ${\rm…

math.GR2024

On the sum of character codegrees of finite groups

Mark L. Lewis, Quanfu Yan

Let $χ$ be an irreducible character of a group $G .$ We denote the sum of the codegrees of the irreducible characters of $G$ by $S_{c} (G) = \sum_{χ \in Irr (G)} cod (χ) .$ We con…