8 papers
On prime divisors of character degrees and codegrees
Dongfang Yang
Let be a finite group, and let denote the set of irreducible complex characters of . For , we define $\mathrm{cd}_ε(G)=\{ χ_ε(1)\mid χ\in \…
Finite groups of non-prime-power order with exactly four character codegrees
Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi +1
For an irreducible complex character \(χ\) of a finite group \(G\), the \emph{codegree} of \(χ\) is defined as the ratio \(|G : \ker(χ)| / χ(1)\), where \(\ker(χ)\) represents the…
Finite groups with a small proportion of vanishing elements
Dongfang Yang, Yu Zeng, Silvio Dolfi
The function , measuring the proportion of the elements of a finite group that are zeros of irreducible characters of , takes (as proved in [12])…
Character degrees of normally monomial p-groups of maximal class
Dongfang Yang, Heng Lv
A finite group is if all its irreducible characters are induced from linear characters of normal subgroups of . In this paper, we determine all possible…
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…
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…
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…
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…