Heng Lv

collaborators

3 papers

math.GR2022

Character degrees of normally monomial p-groups of maximal class

Dongfang Yang, Heng Lv

A finite group $G$ is $n or ma l l y m o n o mia l$ if all its irreducible characters are induced from linear characters of normal subgroups of $G$ . In this paper, we determine all possible…

math.GR2022

Finite groups with some bounded codegrees

Dongfang Yang, Yu Zeng, Heng Lv

For a character $χ$ of a finite group $G$ , the number cod $(χ) := ∣ G : ker (χ) ∣/ χ (1)$ is called the codegree of $χ$ .In this paper, we give a solvability criterion for a finite g…

math.GR2020

A New Characterization of Sporadic Groups

Zhongbi Wang, Heng Lv, Yanxiong Yan +1

Let $G$ be a finite group, $n$ a positive integer. $π (n)$ denotes the set of all prime divisors of $n$ and $π (G) = π (∣ G ∣)$ . The prime graph $Γ (G)$ of $G$ , defined by Grenberg and Keg…