13 citations · 37 across the 17 of their papers we have counts for
22 papers
On Héthelyi-Külshammer's conjecture for principal blocks
Nguyen Ngoc Hung, A. A. Schaeffer Fry
We prove that the number of irreducible ordinary characters in the principal -block of a finite group of order divisible by is always at least . This confir…
Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements
Nguyen Ngoc Hung, Benjamin Sambale, Pham Huu Tiep
Let k(B_0) and l(B_0) respectively denote the number of ordinary and p-Brauer irreducible characters in the principal block B_0 of a finite group G. We prove that, if k(B_0)-l(B_0)…
Irreducible characters of even degree and normal Sylow -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 is coprime to a give…
Characters of p'-degree and Thompson's character degree theorem
Nguyen Ngoc Hung
A classical theorem of John Thompson on character degrees asserts that if the degree of every ordinary irreducible character of a finite group is 1 or divisible by a prime ,…
The character degree ratio and composition factors of a finite group
Mark L. Lewis, Hung Ngoc Nguyen
For a finite non-abelian group let $\rat(G)$ denote the largest ratio of degrees of two nonlinear irreducible characters of . We prove that the number of non-abelian composi…
On a conjecture of Gluck
James P. Cossey, Zoltán Halasi, Attila Maróti +1
Let and respectively denote the Fitting subgroup and the largest degree of an irreducible complex character of a finite group . A well-known conjecture of D. Gluck…