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math.GR2022
Finite groups with some bounded codegrees
Dongfang Yang, Yu Zeng, Heng Lv
For a character of a finite group , the number cod is called the codegree of .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 of a finite group , the codegree of is defined as . 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 which satisfies the condition that every complex irreducible character,whose degree's square doesn't divide the index of its kernel in , lies i…
math.GR2022
On the proportion of vanishing elements in finite groups
Yu Zeng, Dongfang Yang, Silvio Dolfi
We prove that the function , measuring the proportion of the elements of a finite group that are zeros of irreducible characters of , takes very…