Hung Ngoc Nguyen

most citedThe largest character degrees of the symmetric and alternating groups

9 citations · 9 across the 2 of their papers we have counts for

collaborators

2 papers

math.GR2015

Finite groups with an irreducible character of large degree

Nguyen Ngoc Hung, Mark L. Lewis, Amanda A. Schaeffer Fry

Let $G$ be a finite group and $d$ the degree of a complex irreducible character of $G$ , then write $∣ G ∣ = d (d + e)$ where $e$ is a nonnegative integer. We prove that $∣ G ∣ \leq e^{4} - e^{3}$ …

math.GR2014★ 9 cited

The largest character degrees of the symmetric and alternating groups

Zoltán Halasi, Carolin Hannusch, Hung Ngoc Nguyen

We show that the largest character degree of an alternating group $A_{n}$ with $n \geq 5$ can be bounded in terms of smaller degrees in the sense that \[ b(A_n)^2<\sum_{ψ\in\textrm{Ir…