University of Akron

output

19952025

most citedThree-dimensional coordinates of individual atoms in materials revealed by electron tomography

209 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing math.GRShow all

15 papers · 1 filter

math.GR2023★ 2 cited

Common zeros of irreducible characters

Nguyen N. Hung, Alexander Moretó, Lucia Morotti

We study the zero-sharing behavior among irreducible characters of a finite group. For symmetric groups $S_{n}$ , it is proved that, with one exception, any two irreducible characters…

math.GR2022★ 3 cited

Conjugacy classes of $π$ -elements and nilpotent/abelian Hall $π$ -subgroups

N. N. Hung, A. Maróti, J. Martínez

Let $G$ be a finite group and $π$ be a set of primes. We study finite groups with a large number of conjugacy classes of $π$ -elements. In particular, we obtain precise lower bounds…

math.GR2020★ 1 cited

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.GR2016★ 8 cited

Irreducible characters of even degree and normal Sylow $2$ -subgroups

Nguyen Ngoc Hung, Pham Huu Tiep

The classical Itô-Michler theorem on character degrees of finite groups asserts that if the degree of every complex irreducible character of a finite group $G$ is coprime to a give…

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.GR2015

The character degree ratio and composition factors of a finite group

Mark L. Lewis, Hung Ngoc Nguyen

For a finite non-abelian group $G$ let $\rat(G)$ denote the largest ratio of degrees of two nonlinear irreducible characters of $G$ . We prove that the number of non-abelian composi…

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…

math.GR2014

On a conjecture of Gluck

James P. Cossey, Zoltán Halasi, Attila Maróti +1

Let $F (G)$ and $b (G)$ respectively denote the Fitting subgroup and the largest degree of an irreducible complex character of a finite group $G$ . A well-known conjecture of D. Gluck…

math.GR2013★ 2 cited

On the average character degree of finite groups

Alexander Moretó, Hung Ngoc Nguyen

We prove that if the average of the degrees of the irreducible characters of a finite group $G$ is less than 16/5, then $G$ is solvable. This solves a conjecture of I.M. Isaacs, M.…

math.GR2011

Quasisimple classical groups and their complex group algebras

Hung Ngoc Nguyen

Let $H$ be a finite quasisimple classical group, i.e. $H$ is perfect and $S := H / Z (H)$ is a finite simple classical group. We prove in this paper that, excluding the cases when the s…

math.GR2011★ 1 cited

Projective special linear groups $P S L_{4} (q)$ are determined by the set of their character degrees

Hung Ngoc Nguyen, Hung P. Tong-Viet, Thomas P. Wakefield

Let $G$ be a finite group and let $c d (G)$ be the set of all irreducible complex character degrees of $G$ . It was conjectured by Huppert in Illinois J. Math. 44 (2000) that, for eve…

math.GR2011

Multiplicities of conjugacy class sizes of finite groups

Hung Ngoc Nguyen

It has been proved recently by Moreto and Craven that the order of a finite group is bounded in terms of the largest multiplicity of its irreducible character degrees. A conjugacy…

math.GR2010

Lifts and vertex pairs in solvable groups

James P. Cossey, Mark L. Lewis

Suppose $G$ is a $p$ -solvable group, where $p$ is odd. We explore the connection between lifts of Brauer characters of $G$ and certain local objects in $G$ , called vertex pairs. We…

math.GR2010

On the permutation modules for orthogonal groups $O_{m}^{\pm} (3)$ acting on nonsingular points of their standard modules

Jonathan I. Hall, Hung Ngoc Nguyen

We describe the structure, including composition factors and submodule lattices, of cross-characteristic permutation modules for the natural actions of the orthogonal groups $O_{m}…