Quanfu Yan

collaborators

4 papers

math.GR2024

Some results on the norm of finite groups

Mark L. Lewis, Zhencai Shen, Quanfu Yan

Let $G$ be a finite group and $N_{I^} c ◯ (G)$ be the intersection of the normalizers of all subgroups belonging to the set $I^c ◯ (G),$ where $I^c ◯ (G)$ is a set of all subgroups of $G$ which h…

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

math.GR2024

On the sum of character codegrees of finite groups

Mark L. Lewis, Quanfu Yan

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