N. Hung

collaborators

3 papers

math.GR2020

A lower bound for the number of odd-degree representations of a finite group

Nguyen Ngoc Hung, Thomas Michael Keller, Yong Yang

Let $G$ be a finite group and $P$ a Sylow $2$ -subgroup of $G$ . We obtain both asymptotic and explicit bounds for the number of odd-degree irreducible complex representations of $G$ …

math.GR2019

Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group

Nguyen Ngoc Hung, Yong Yang

Let $H$ be an abelian subgroup of a finite group $G$ and $π$ the set of prime divisors of $∣ H ∣$ . We prove that $∣ H O_{π} (G) / O_{π} (G) ∣$ is bounded above by the largest character degree…

math.GR2019

The average character degree and an improvement of the Ito-Michler theorem

Nguyen Ngoc Hung, Pham Huu Tiep

The classical Itô-Michler theorem states that the degree of every ordinary irreducible character of a finite group $G$ is coprime to a prime $p$ if and only if the Sylow $p$ -subgro…