3 papers
math.GR2025
Sum of the squares of the -character degrees
Nguyen N. Hung, J. Miquel Martínez, Gabriel Navarro
We study the sum of the squares of the irreducible character degrees not divisible by some prime , and its relationship with the the corresponding quantity in a -Sylow normal…
math.GR2024
The -rationality of height-zero characters
Nguyen N. Hung, A. A. Schaeffer Fry
We propose and present evidence for a conjectural global-local phenomenon concerning the -rationality of -height-zero characters. Specifically, if is a height-zero charac…
math.GR2019
On the number of irreducible real-valued characters of a finite group
Nguyen Ngoc Hung, A. A. Schaeffer Fry, Hung P. Tong-Viet +1
We prove that there exists an integer-valued function f on positive integers such that if a finite group G has at most k real-valued irreducible characters, then |G/Sol(G)| is at m…