N. Hung

activity

20192021

p

-rational characters of

p^{'}

-degree

2 citations · 3 across the 4 of their papers we have counts for

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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…