Dongfang Yang

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20222026

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Showing 2022 · math.GRShow all

5 papers · 2 filters

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.GR2022

Nonsolvable groups with three nonlinear irreducible character codegrees

Dongfang Yang, Yu Zeng

For an irreducible character $χ$ of a finite group $G$ , the codegree of $χ$ is defined as $∣ G : ker (χ) ∣/ χ (1)$ . In this paper, we determine finite nonsolvable groups with exactly thr…

math.GR2022

A characterization of finite groups by certain Galois conjugacy class of irreducible characters

Yu Zeng, Dongfang Yang

We classify the finite groups $G$ which satisfies the condition that every complex irreducible character,whose degree's square doesn't divide the index of its kernel in $G$ , lies i…

math.GR2022

On the proportion of vanishing elements in finite groups

Yu Zeng, Dongfang Yang, Silvio Dolfi

We prove that the function $P_{v} (G)$ , measuring the proportion of the elements of a finite group $G$ that are zeros of irreducible characters of $G$ , takes very…